Question

what must be added to each term of the ratio 2 ratio 5 so that it may become equal to 5 ratio 6

Answer 1

Let the number to be added be x.

Then (2 + x) : (5 + x ) = 5 : 6.

2 + x/5 + x = 5/6.

On cross-multiplication, we get

6(2 + x) = 5(5 + x)

12 + 6x = 25 + 5x

6x - 5x = 25 - 12

x = 13.


The number to be added is 13.


Hope this helps!