Question

The different between two natural numbers is $28$ the smaller number is $\frac{3}{4}$ the greater number. Find the numbers.

Answer 1

Let $x$ and $y$ be two numbers such that $x>y$

$x-y=28$ ---- (i)

$y=\frac{3}{4}x$ ---- (ii)

From (ii) put value of $y$ in (i), we get,

$x=112$

and from (i)

$y=84$

Hence the required natural numbers are $84$ and $112$