Question

The ratio of two numbers is 5: 6. On
adding 3 to each of these numbers,
the ratio becomes 6:7. Find the
numbers.
​

Answer 1

Answer

⇒ Let the first number is x, the second is y.Then yx=53 , 3y=5x

On the other hand y+10x+10=75,hence 7(x+10)=5(y+10) 

We get that 3y=5x,7x+70=5y+50

3y=5x,5y=7x+20

y=35x,y=57x+20

∴  35x=57x+20

25x=3(7x+20)

25x=21x+60

4x=60

∴  x=15

⇒  Then y=35x=5×315=25

∴  x=15,y=25