# What will be the Ratio of Two Number? If

The sum of two numbers is equal to 20 and their difference is 25. the ratio of the two number is

1. -9:1
2.  7:9
3.  3:5
4.  2:7

Manish Listener Asked on 14th July 2015 in

Answer: ( 1 ). – 9 : 1

Let two numbers be X and Y.

According to Question,
X + Y = 20       . . .  . .  . ..(i)
and X – Y = 25        . . . . .  .  . . . (ii)

Now, solving equations (i) & (ii), we get
2X = 45
X = 22 . 5  ….. . .. … .(iii)
put the value of X in eqn. (i) , we get Y = – 2 . 5

The ratios of these two number is X : Y = – 22 . 5 : 2.5 = – 9 : 1

vijay Professor Answered on 15th July 2015.