# the difference between two numbers is 26 and one number is three times the other. find them.

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## The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

Byju's Answer Standard IX Mathematics

Properties of Inequalities

The differenc... Question

The difference between two numbers is 26 and one number is three times the other. Find the numbers. [3 MARKS]

Open in App Solution Concept : 1 Mark

Application : 1 Mark

Calculation : 1 Mark

Let the numbers be x and y .

According to given condition,

x = 3 y … … ( i ) x − y = 26 … … ( i i )

On solving (i) and (ii) we get,

x = 3 y [From (i)]

Substituting value of x in (ii)

3 y − y = 26 y = 13 Now, x = 3 y x = 3 ( 13 ) ⇒ x = 39 ∴ y = 13 , x = 39 ∴

The required numbers are 13 and 39.

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SIMILAR QUESTIONS

**Q.**

**Q.**The difference between two numbers is 26 and one number is three times the other. Find the numbers.

**Q.**The difference between two numbers is

26

and one number is three times the other. Find the sum of these numbers.

**Q.**The difference between two whole numbers is

26

and one number is three times the other. Find the numbers.

**Q.**

Express as a pair of linear equations:

The difference between two numbers is 26 and one number is three times the other. (Select all the correct options)

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**The difference between two numbers is 26 and one number is three times the other. Find x and y.**

Answer:

Let the two numbers be x and y respectively, such that y > x.

According to the question,

y = 3x ……………… (1)

y – x = 26 …………..(2)

Substituting the value of (1) into (2), we get

3x – x = 26 x = 13 ……………. (3)

Substituting (3) in (1), we get y = 39

**Hence, the numbers are 13 and 39.**

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## The difference between two numbers is 26 and one number is three times the other. Find the sum of these numbers.

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## The difference between two numbers is 26 and one number is three times the other. Find the sum of these numbers.

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Correct option is A)

Let two numbers be x & y

x−y=26 ____ (1) x=3y ____ (2)

substituting (2) in (1) we get

3y−y−26 2y=26 y=13 x=3y from (2) x=3×13 x=39

we need to find sum of two numbers

x+y=39+13 =52

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