Question

When `2 1/2`, is added to a number and the sum is multiplied by `4  1/2`, and then 3 is added to the product and then the sum is divided by `1 1/5`. the quotient becomes 25. What is that number?

Options

• `2 1/2`

• `3 1/2`

• `4 1/2`

• `5 1/2`

Answer 1

`3 1/2`

Explanation:

Let number be x. Then, ATQ

`⇒([(2 1/2+"x")xx4 1/2]+3)/(1 1/5)=25`

`⇒[(5/2+"x")9/2]+3=25xx6/5`

`⇒(45/4+(9"x")/2)+3=30`

`⇒(45+18"x")/4=27`

⇒ 18x = 108 − 45

⇒ 18x = 63

`∴"x"=3 1/2`