The difference between two positive integers is 63. The ratio of the two integers is 2 : 5. Find the two integers. Class 9

The difference between two positive integers is 63. The ratio of the two integers is 2 : 5. Find the two integers. Class 9

Question 1.

The difference between two positive integers is 63. The ratio of the two integers is 2 : 5. Find the two integers. Class 9

Solution:

Let the smaller integer be 2x, and the larger integer be 5x

According to the given condition,

5x - 2x = 63

∴ 3x = 63

∴ x = [latex]\frac{63}{3}[/latex] = 21

Now, substituting x = 21 in 2x, we get

2x = 2(21) = 42 and

Substituting x = 21 in 5x, we get

5x = 5(21) = 105

∴ The two integers are 42 and 105.