Problema Solution

Two numbers are such that the ratio between them is 8:5 If each number is increased by 10, the ratio between the new numbers so formed is 5:7. Find the original numbers.

Answer provided by our tutors

Let x be the common factor of the two numbers. Thus the numbers are 8x and 5x.

Given that 8x+10 : 5x+10 = 7:5

or, 5(8x+10)=7(5x+10)

or, 5x=20

or, x=4.

Thus the original numbers are 32 and 20.

NB: The question is wrong.