Question

Find two numbers such that one of them exceeds the other by 9 and their sum is 81.

Answer 1

Solution is attached below

Answer 2

Given :

• Two numbers such that one of them exceeds the other by 9 and their sum is 81.

To Find :

• The Two Numbers

Solution :

⟶ Let the First number be x

⟶ Then Second number will be x + 9

According to the Question :

⟹ Sum of Numbers = 81

⟹ x + x + 9 = 81

⟹ 2x + 9 = 81

⟹ 2x = 81 - 9

⟹ 2x = 72

⟹ x = 72/2

⟹ x = 36

________________

Verification :

⟹ Sum of Numbers = 81

⟹ x + x + 9 = 81

⟹ 36 + 36 + 9 = 81

⟹ 36 + 45 = 81

⟹ 81 = 81

Hence Verified

________________

Therefore :

• First Number = x = 36
• Second Number = x + 9 = 36 + 9 = 45

________________