Question

Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers

NCERT Class X
Mathematics - Exemplar Problems

Chapter _PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Answer 1

let numbers = 5x, 6x
5x-8/6x-8 = 4/5
25x-40 = 24x-32
25x-24x = 40-32
x = 8
then, numbers = 5x = 5*8 = 40
                         6x = 6*8 = 48

Answer 2

Let the numbers , 5x, 6x
5x-8/6x-8 = 4/5
25x-40 = 24x-32
25x-24x = 40-32
x = 8
Then ,  numbers = 5x = 5*8 = 4  ,  6x = 6*8 = 48