# 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? - Mathematics

MCQ

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

#### Solution

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

Concept: Simplification
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