Question

difference of two numbers is 1660 if 7.5% of 1 number is 12. 5% of the other number find the two numbers

Answer 1

let the 2 no. be x and y.
x-y=1660
7.5% of x = 12.5% of y
75x/1000=125y/1000
75x=125y
3x=5y
x=5y/3

x-y=1660
5y/3-y=1660
(5y-3y)/3=1660
2y=1660*3
y=4980/2
y=2490
x=5y/3
x=5*2490/3
x=4150
Therefore, 2 no. are 4150 and 2490.

Answer 2

Let the numbers be x and y
x-y=1660
7.5x/100=12.5y/100
x=12.5y/100*100/7.5
x=12.5y/7.5
x=5y/3.....(1)

x-y=1660
substituing eq(1) in place of x
5y/3-y=1660
5y-3y/3=1660
2y/3=1660
y=1660×3/2
y=2490

Substituting y in eq(1)
x=5y/3=5*2490/3=4150
x=4150
y=2490