Question

Two numbers are in the ratio 6:11. On adding 2 to the first number and 7 to the second one,their ratio becomes 8:15. Find the numbers.

Answer 1

Answer:

Let the first number be = 6x

Let the second number be = 11x

ATQ, on adding 2 to the first number and 7 to the second one,their ratio becomes 8:15. So,

6x + 2 / 11x + 7 = 8/15

= 8 ( 11x + 7) = 15 ( 6x + 2 )

= 88x + 56 = 90x + 30

= 88x - 90x = 30 - 56

= -2x = -26

= x = 26/2

    = 13

Therefore, first number is 6 * 13 = 78

and the second number is 11 * 13 = 143

Hope its helpful!