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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`

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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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