Question

two number are in the ratio 4 :5. if 5 is added to each number, the ratio become 13 :16. find the number.

Answer 1

the first two is 4x and 5x
after that the number is 13y and 16y
atm,
(4x+5)/5x+5=13y/16y-------(i)
13y/16y-4x/5x=5-------(ii)
now you easily solve it

Answer 2

Greetings..!

Let the numbers be 4x and 5x.

So,the ratio = 4x : 5x

Now, it becomes

⇒4x + 5 : 5x + 5 = 13:16

⇒4x+5/5x+5=13/16

⇒65x + 65 = 64x + 80 {Doing Cross-Multiplication}

⇒65x - 64x = 80-65 {transposing numbers}

⇒x=15

So , the numbers are ,

4x = 4*15 = 60

5x = 5*15=75