Sum of two numbers is 95. If one exceeds the other by 15, find the numbers.

Sum of two number = 95
Let the first number be x, then another number be x + 15 .
According to the question, x+x+15=95
=> 2x + 15 = 95 

=> 2x + 15 - 15 = 95 - 15 [Subtracting 15 from both sides]
=> 2x=80

=> 2x/2=80/2 [Dividing both sides by 2]
=> x = 40
Hence, the first number = 40
And another number = 40 + 15=55

Let one number be x. Therefore, the other number will be x + 15.

According to the question,

x + x + 15 = 95

2x + 15 = 95

On transposing 15 to R.H.S, we obtain

2x = 95 − 15

2x = 80

On dividing both sides by 2, we obtain

2x/2 = 80/2

x = 40

x + 15 = 40 + 15 = 55

Hence, the numbers are 40 and 55.

Let two numbers be x and y
According to Question
x+y=95-(1)
x-y=15-(2)
adding equation 1 and 2
2x=110
x=55
y=40.