SSC (English Medium) Class 8Maharashtra State Board
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Sudhir'S Present Age is 5 More than Three Times the Age of Viru. Anil'S Age is Half the Age of Sudhir. - SSC (English Medium) Class 8 - Mathematics

ConceptWord Problems of Equation in One Variable

Question

Sudhir's present age is 5 more than three times the age of Viru. Anil's age is half the age of Sudhir. If the ratio of the sum of Sudhir's and Viru's age to three times Anil's age is 5:6, then find Viru's age.

Solution

Let Viru's present age be x years.
Sudhir's present age = (5 + 3x) years
Anil's present age = ((5 + 3"x")/2) years

∴ From the given information,

(5 + 3"x") + ("x") : 3(5 + 3"x")/2 = 5 : 6

⇒ (5 + 4x)/(3(5 + 3"x")/2 = 5/6

⇒ (2(5 + 4"x"))/(15 + 9x) = 5/6

⇒ (10 + 8"x")/(15 + 9"x") = 5/6

⇒ 6 (10 + 8x) = 5 *(15 + 9x)

⇒ 60 + 48x = 75 + 45x

⇒ 48x - 45x = 75 - 60

⇒ 3x = 15

⇒ x = 5

Hence, Viru's age is 5 years.

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Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 12: Equations in one variable
Practice Set 12.2 | Q: 10 | Page no. 80
Solution Sudhir'S Present Age is 5 More than Three Times the Age of Viru. Anil'S Age is Half the Age of Sudhir. Concept: Word Problems of Equation in One Variable.
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