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    a positive number is 5 times another number. if 21 is added to both numbers, one of the new numbers becomes twice the other. what are the numbers?

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    A positive number is 5 times another number. If 21 added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

    Click here👆to get an answer to your question ✍️ A positive number is 5 times another number. If 21 added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

    Question

    A positive number is 5 times another number. If 21 added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

    Let the numbers be x,y

    Medium Open in App Solution Verified by Toppr ⟹y=5x 21 is added The numbers are y+21,x+21

    According to question

    y+21=2(x+21) 5x+21=2x+42 5x=2x+21 3x=21 x=7⟹y=35

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    A positive number is 5 times another number. f 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. What are the numbers

    A positive number is 5 times another number. f 21 is added to both the numbers,then one of the new numbers becomes twice the other new number. What are the numbers?The two positive numbers are7and35.

    A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

    Solution:

    Let the numbers be x and 5x.

    Since x + 21 is smaller than 5x + 21, therefore according to the question,

    21 + 5x = 2(x + 21) 21 + 5x = 2x + 42

    Transposing 2x to LHS and 21 to RHS, we obtain

    5x - 2x = 42 - 21 3x = 21

    Dividing both sides by 3, we obtain

    x = 7

    First number is x = 7

    Second number is 5x = 5 × 7 = 35

    Hence, the numbers are 7 and 35 respectively.

    ☛ Check: NCERT Solutions for Class 8 Maths Chapter 2Video Solution:

    A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

    NCERT Solutions Class 8 Maths Chapter 2 Exercise 2.4 Question 2

    Summary:

    A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. The two positive numbers are 7 and 35.

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