Two numbers are in the ratio 5 : 6. If 8 is added to each they are in the ratio 9 : 10, what would be the numbers?

Question

School A has boys to girls in the ratio 5:6 and school B has girls to boys in the ratio 8:7.
If the number of students in school A is at least twice as many as the number of students in school B, what is the minimum percentage of boys when both schools are considered together?

Answer 1

Let's two numbers are x and Y
x/y=5/6..........................................(i)
(x+8)/(y+8)=9/10........................(ii)
Simplify above two equations
x=10 and y=12
Ans :two numbers are 10 and 12

Answer 2

Let's two numbers are x and Y
x/y=5/6..........................................(i)
(x+8)/(y+8)=9/10........................(ii)
solve above two equations
x=10 and y=12
two numbers are 10 and 12