Question

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

Answer 1

Answer:

$2x + 15 = 95 \\ 2x = 80 \\ x = 40$

Answer 2

Answer:

Assume any one number to be a variable and form a linear equation by using the relationships between the two numbers mentioned in the problem statement.

Let one of the numbers be x.

Then the other number is 95 - x.

If we assume x to be larger among two of them,

⇒ x - (95 - x) = 15 (as one exceeds the other by 15)

⇒ 2x = 15 + 95

⇒ x = 110 / 2 = 55

The other number is (95 - x) which is 95 - 55 = 40

Thus, the two numbers are 40 and 55.