Question

The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.

Answer 1

Let the first number = x

and the second number = y

According to question,

x + y = 4500 ....(i)

and 10% x = 12.5% y

i.e. 10x = 12.5y

$x=\frac{12.5}{10}y$ ....(ii)

Substitute the value of x in equation (i),

$\frac{12.5}{10}y+y=45,00012.5+10y=45,00022.5y=45,000y=\frac{45,000}{22.5}=2000$

Now, put the value of y in equation (ii)

$x=\frac{12.5}{10}\times 2000x=2500$

Hence, the numbers are 2500 and 2000