The difference between the 2 natural numbers is 28. The smaller number is $\frac{3}{4}$ of the greater number. Find the numbers.

Given,

The difference between 2 Natural numbers is 28.

Let the greater number be x.

The smaller number is 3/4 of the greater number.

This implies,

The smaller number = 3/4 (x)

Therefore,

x - (3/4)x = 28

(4(x)-3(x))/4 = 28

x = 4(28)

x = 4(28)

x = 4(28)

x = 112

The larger number is 112 and the smaller number is 3/4(112) = 3(28) = 84.

The numbers are 84 and 112.

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Updated on: 10-Oct-2022

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