Question

Difference between two positive integers is 40. The integers are in the ratio 2:3.
Find the integers.​

Answer 1

Answer:

Given, integers are 2x and 3x.

Also, 3x - 2x = 40

=> x = 40

Therefore, the integers are 80 and 120 respectively

Answer 2

Given:

• Difference between two positive integers = 40
• Ratio of the two integers = 2:3

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To find:

The two integers.

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Solution:

We are given that the ratio of the two integers is 2:3.

So,

Let the first positive integer be 2x.

Let the second positive integer be 3x.

We are also given that difference between the two integers is 40.

So,

3x-2x = 40

$\boxed {\boxed {\sf {\green {x = 40}}}}$

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Verification:

On substituting the value of x as 40 in the equation,

3×40 - 2×40 = 40

120-80 = 40

40 = 40

LHS = RHS

Hence Verified!

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Final answer:

• First positive integer = 2x

= 2×40

= 80

• Second positive integer = 3x

= 3×40

= 120

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$\boxed {\sf {\orange {The\ two\ required\ integers\ are\ 80\ and\ 120.}}}$