Question

The sum of numbers is 146 and their difference is 18.Find their numbers.

Answer 1

Let the numbers be x and y
So,

Case 1 :-

X + y = 146.... (1)

and ,

Case 2 :-

X - y = 18....... (2)

Now ,

From equation two we have
X - y = 18
Or,
X = 18 +y... (3)

Putting (3) in equation (1)
Substitution of x in equation (1).

So,

X +y = 146
Or,
18 + y+y = 146
Or,
2y = 146 - 18 = 128
Or,
Y = 128/2 = 64

Now ,
Putting the values of y on equation 3 to obtain x.

X = 18 +y
Or,
X = 18 +64 = 82

Hence ,

The two numbers are 82 and 64