Question

The present age of Sita’s father is three times the present age of Sita. After six years sum of their ages will be 69 years. Find their present ages.
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Answer 1

I hope this helped and if your taking a test i hope you do well. :D

Step-by-step explanation:

Sita’s present age = x

Sita’s father present age = y

According to question,

y = 3x

and

(x + 6) + (y + 6) = 69

x + y = 69 - 12 = 57

x + 3x = 57

4x = 57

x = 57/4 = 14.25

y = 14.25 * 3 = 42.75

Sita’s present age is 14.25 years

Her father’s present age is 42.75 years

Answer 2

Solution:

$\tt \underline{Let}$

• The present age of Sita = a
• The present age of her father = 3a

$\tt \underline{A.T.Q.}$

$\tt\implies{(a + 6)+(3a+6)=69}$

$\tt \implies{4a + 6 + 6 = 69}$

$\tt \implies{4a + 12 = 69}$

$\tt \implies{4a = 69 - 12}$

$\tt \implies{a = \frac{57}{4} }$

$\tt \implies{a = 14.25}$

$\tt \underline{Therefore}$

• The present age of Sita = a = 14.25 = 14years and 3months.

• The present age of her father = 3a = 3 × 14.25 = 42.75 = 42 years and 9 months.

Hence, their present ages are 14yrs, 3months and 42yrs, 9months respectively.

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