Question

A number is decreased by 20 and the new number so obtained is increased by 35; the result is 100. Find the number

• A. 65
• B. 90
• C. 75
• D. 85

Answer 1

The correct option is D

85

Let the number be x
The number is decreased by 20 = x-20
New number (x -20) is increased by 35 = (x -20) +35
Forming the equation:
(x -20) +35 =100
[rearranging the terms]
= x -20 +35 = 190
= x +15 = 100
= x = 100- 15
$\Rightarrow$ x = 85