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Solving Equations with Linear Expressions on One Side and Numbers on the Other Side

Laxmi's fathe...

Question

Laxmi's father's age is 5 times her age . After 5 years his age is 3 times her age . Find their ages

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Solution

x = father's age

y = Laxmis age

x = 5y---->(1)

x+5 = 3(y+5)
x+5=3y+15
substitute eq(1)
5y+5=3y+15
2y=10
y=5
x=25

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(i) What will be her age $5$ years from now?

(ii) What was her age $3$ years back?

(iii) Sarita’s grandfather is $6$ times her age. What is the age of her grandfather?

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