Question

two numbers are in the ratio 7:9.if each number is increased by 6,the new ratio is 5:6

Answer 1

ratio of two numbers = 7:9

let the numbers are =7x and 9x
if each number is increased by 6 then

(7x+6) : (9x+6) = 5:6

(7x+6)/(9x+6) = 5/6

6(7x+6) = 5(9x+6)
42x +36 = 45x +30
42x - 45x = 30-36
-3x = -6

x= -6/-3

x= 2

the numbers are 7x = 7*2 = 14
and 9x = 9*2 = 18

Answer 2

let numbers be 7x and 9x. Each number is increased by 6.
Then 7x+6/9x+6=7/9
now solve it.