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    the result of dividing a number by the number with the digits reversed is 1¾. if the sum of the digits is 12, the number is

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    The result of dividing the number of two digits by the number with digits reversed is 1 If the sum o...

    Free solutions for M L Aggarwal - Understanding ICSE Mathematics - Class 9 Chapter 7 - Problems on Simultaneous Linear Equations Problems on Simultaneous Linear Equations Exercise 6 question 26. These explanations are written by Lido teacher so that you easily understand even the most difficult concepts

    ML Aggarwal Solutions Class 9 Mathematics Solutions for Problems on Simultaneous Linear Equations Exercise 6 in Chapter 6 - Problems on Simultaneous Linear Equations

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    The result of dividing the number of two digits by the number with digits reversed is 1¾. If the sum of digits is 12, find the number.

    Answer:

    Let’s consider the digit at tens place as x

    And let the digit at unit place be y

    The number is 10 × x + y × 1 = 10x + y

    So, reversing the number = 10 × y + x × 1 = 10y + y

    Then according to the first condition given in the problem, we have

    (10x + y)/ (10y + x) = 1¾

    (10x + y)/ (10y + x) = 7/4

    4 (10x + y) = 7 (10y + x)

    40x + 4y = 70y + 7x

    40x – 7x – 70y + 4y = 0

    33x – 66y = 0 x – 2y = 0 … (i)

    And according to the second condition of the given problem, we have

    x + y = 12 … (ii)

    From equation (i) and (ii), we have

    x + y = 12 x – 2y = 0 (-)—(+)—(-) 3y = 12 y = 12/3 y = 4

    On substituting the value of y in (i), we have

    x – 2(4) = 0 x = 8

    Therefore, the number is 10 x 8 + 4 = 84.

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    The result of dividing a number of two digits by the number with the digits reversed is 5 6 . If the difference of digits is 1, find the number.

    Click here👆to get an answer to your question ✍️ The result of dividing a number of two digits by the number with the digits reversed is 5 6 . If the difference of digits is 1, find the number.

    The result of dividing a number of two digits by the number with the digits reversed is

    Question 6 5 ​

    . If the difference of digits is 1, find the number.

    Let a number be 10x+y

    Medium Open in App Solution Verified by Toppr

    Reversed number =10y+x

    Thus, 10y+x 10x+y ​ = 6 5 ​ 60x+6y=50y+5x 55x=44y 5x=4y⟶(1) also, x−y=−1⟶(2)

    on solving, we get x=4 and y=5 so, Number is 10x+y=45

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    The result of dividing a number of two digits by the number with the digits reversed is 7/4. If the sum of the digit is 12, what is the number?

    Answer (1 of 4): Let the unit digit is x. The ten's digit =(12 - x) [ because the sum of the digits of the two digit number is 12]. The value of the two digit number = 10 . (12 - x ) +x = 120 -10 x + x = 120 - 9x ———(1) The value of the two digit number with unit and ten's digit interchanged = ...

    The result of dividing a number of two digits by the number with the digits reversed is 7/4. If the sum of the digit is 12, what is the number?

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    Sort Satya Parkash Sud

    Former Professor at Himachal Pradesh University Shimla (1986–2002)Author has 5.3K answers and 14.4M answer views3y

    Let the unit digit is x. The ten's digit =(12 - x) [ because the sum of the digits of the two digit number is 12].

    The value of the two digit number = 10 . (12 - x ) +x = 120 -10 x + x = 120 - 9x ———(1)

    The value of the two digit number with unit and ten's digit interchanged = 10 x + (12 - x) = 9 x + 12 —-(2)

    According to the statement of the problem the division of the original number by the new number obtained by interchanging the position of the unit and ten's digit is 7/4, is

    (120 - 9 x)/(9 x + 12) = 7/4

    Simplifying we get

    480 - 36 x = 63 x + 84

    ==> 99 x = 396 or x = 4.

    Therefore, the unit's digit

    Related questions

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    The sum of the digits of a two digit number is 7, while when the digits are reversed, the number decreases by 45. What is the changed number?

    The two-digit number is increased by 18 when the digits are reversed. The sum of the digits is 6. What are the numbers?

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    Avinash Nayak 3y

    Let the digit at the tens place be x.

    So, the number at the unit place will be 12–x.

    So, the two digit number is 10x+(12–x)=9x+12

    The number obtained by reversing the digits=10×(12–x)+x=120–9x

    According to the condition,

    (9x+12)÷(120–9x)=7÷4

    So, 4(9x+12)=7(120–9x)

    Therefore, 36x+48=840–63x

    Thus, 99x=792, so x=8

    The digit at units place=12–x=4

    Thus, the number is 84.

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    Elaine Riley

    Former mathematics teacher.Author has 92 answers and 215.9K answer views2y

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    The tens digit of a two-digit number exceeds the units digit by 2. If the number is increased by ninth and then divided by the sum of the digits, the quotient is 7. What is the number?

    Let the number be ab where a is the tens digit and b is the units digit

    The number can be expressed as 10a + b

    We are told a = b+2

    The number can be written as 10( b+2) + b = 11b + 20

    Increasing it by 9 ( increasing by a ninth doesn’t give whole number values for a and b) we get 11b + 29

    We are told that dividing this by the sum of digits a and b gives quotient 7

    So, (11b + 29)/( 2b+2) = 7

    11b + 29 = 14b + 14 15 = 3b

    So b=5 and a = 5+2=7

    The number is 75 Hélio Waldman

    Retired Professor, Collaborating Professor at University of Campinas (UNICAMP) (1973–present)Author has 464 answers and 285.9K answer views3y

    Let “ab” be the decimal representation of the given number. Then:

    (10a+b)/(10b+a) = 7/4

    So: 40a+4b = 70b+7a

    Therefore: 33a = 66b, so a = 2b

    On the other hand: a+b = 12 = 3b, so b=4 and a=8

    In conclusion, the number is 84.

    Satyanarayana Mudunuri

    Worked at ITC Limited (1979–2002)Author has 2.9K answers and 1M answer views3y

    If 10x+y is the number, we have (10x+y)/(10y+x)= 7/4 and x+y=12

    70y+7x = 40y+4y => 66y=33x => 2y=x, x+y=3y=12 or y=4, x=8

    The number is 84 Sponsored by USAFIS

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    Jacob Sarkar

    Thinking about this question for last 2 daysAuthor has 154 answers and 137.8K answer views1y

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    From all three digit numbers, what is the one that when divided by the sum of digits gives the largest result?

    Well this question can be said as the mother question of a number of questions. If we observe quite carefully…we can say that there exists a general trend of the value of(number/sum of its digits) for three digit numbers!

    Here is a graph which represents this.

    y- axis value of m

    where m= number/sum of digits

    i.e m= ( 100x+10y+z)/(x+y+z) 100x+10y+z)/(x+y+z)

    x-axis =a three digit number_xyz_

    _xyz_

    with increasing numerical value

    x,y,z belongs to integers from 0 to 9, x not equals to 0

    Now, let me provide the salient features of this graph

    peaks.

    The peaks of the graph represents the numbers in the format _x00_

    _x00_ all have the same Ashis Ghosh

    Former Retired officer at State Bank of India (SBI)Author has 2.2K answers and 2.1M answer views3y

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    Mohammed 1 month ago
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