SSC (English Medium) Class 8Maharashtra State Board
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# Mother is 25 Year Older than Her Son. Find Son'S Age If After 8 Years Ratio of Son'S Age to Mother'S Age Will Be 4 9 . - SSC (English Medium) Class 8 - Mathematics

ConceptWord Problems of Equation in One Variable

#### Question

Mother is 25 year older than her son. Find son's age if after 8 years ratio of son's age to mother's age will be 4/9.

#### Solution

Let the present age of the son be x years.
Age of the mother = (x + 25) years
After 8 years,
Age of son = (x + 8) years
Age of mother = (x + 25+ 8) years
= (x + 33) years
From the given information,

("x" + 8)/("x" + 33) = 4/9

⇒ 9 (x + 8) = 4 (x + 33)

⇒ 9x + 72 = 4x + 132

⇒ 9x - 4x = 132 - 72

⇒ 5x = 60

⇒ x = 12

Hence, the present age of the son is 12 years.

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#### APPEARS IN

Balbharati Solution for Balbharati Class 8 Mathematics (2019 to Current)
Chapter 12: Equations in one variable
Practice Set 12.2 | Q: 1 | Page no. 79
Solution Mother is 25 Year Older than Her Son. Find Son'S Age If After 8 Years Ratio of Son'S Age to Mother'S Age Will Be 4 9 . Concept: Word Problems of Equation in One Variable.
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