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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`
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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`
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