Question

formula to solve word problem on equation

Answer 1

1. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.


Solution:

Then the other number = x + 9

Let the number be x.

Sum of two numbers = 25

According to question, x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x = 25 - 9 (transposing 9 to the R.H.S changes to -9)

⇒ 2x = 16

⇒ 2x/2 = 16/2 (divide by 2 on both the sides)

⇒ x = 8

Therefore, x + 9 = 8 + 9 = 17