Question

L-1
EXERCISE 4.9
1. Ashu is x years old while his mother Mrs Veena is x2
years
old. Five
Veena will be three times old as Ashu. Find their present ages.
years hence Mrs
2. The sum of the ages of a man and his son is 45 yon
ages was four time
Vora​

Answer 1

$\huge\underline\bold\red{AnswEr}$

Given : Ashu's present age = x years

His mother Mrs Veena's present age = x² years

After 5 years,

Ashu's age will be = (x + 5) years

His mother Mrs Veena's age will be = (x² + 5) years

A.T.Q

(x² + 5) = 3(x + 5)

(x² + 5) = 3x + 15

x² - 3x -15 + 5

x² - 3x - 10 = 0

x² - 5x + 2x - 10 = 0

[By middle term splitting]

x(x - 5) + 2(x - 5)

(x + 2)(x - 5)

(x + 2) = 0 or (x - 5) = 0

x = -2 or x = 5

Since, x (age) can’t be negative, x ≠ - 2 , so x = 5.

Ashu's present age = x years = 5 years

And His mother Mrs Veena's present age = x² years = 5² = 25 years

Hence, Ashu's present age is 5 years and His mother Mrs Veena's present age is 25 years.

Answer 2

Hope this attachment will help you.