Question

Sundar is 6 years older to his sister Asha. After six years, Sundar will be four times Asha's age. What are their present ages.

Please solve on a neat and clean piece of paper or whiteboard

And don't write anything rubbish

Thanks for answering ☺️​

Answer 1

Answer:-

• Present age of Asha = 4 years
• Present age of Sundar = 10 years .

Explanation :-

According to the Question

Let the present age of Asha be x years

and the present age of Sundar be (x+6) years

⠀⠀⠀⠀⠀⠀⠀According to the given condition

After six years, Sundar will be four times Asha's age.

→ 4(x +6) = (x+6+6)

→ 4x +24 = x + 12

→ 4x -x = 12-24

→ 3x = -12

→ x = -12/3

→ x = -4

Since, age cannot negative .

→ x = 4

• The present age of Asha = 4 years

• And, the present age of Sundar = 4+6 = 10 years

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Answer 2

Answer:

Given :-

• Sundar is 6 years older to his sister Asha. After six years, Sundar will be four times Asha's age.

To Find :-

• What is the present age of sundar and asha.

Solution :-

Let,

$\mapsto$ Present age of Asha be y years

$\mapsto$ Present age of Sundar will be (y + 6) years

After 6 years :

$\leadsto$ Age of Asha = (y + 6) years

$\leadsto$ Age of Sundar = (y + 6 + 6) years = (y + 12) years

According to the question,

$\implies \sf y + 12 =\: 4(y + 6)$

$\implies \sf y + 12 =\: 4y + 24$

$\implies \sf y - 4y =\: 24 - 12$

$\implies \sf - 3y =\: 12$

$\implies \sf y =\: \dfrac{\cancel{12}}{- \cancel{3}}$

$\implies \sf y =\: - 4\: \: \bigg\lgroup \sf\bold{Age\: can't\: be\: negetive\: (- ve)}\bigg\rgroup$

$\implies \sf\bold{\purple{y =\: 4\: years}}$

Hence, the required present age of Asha and Sundar are :

$\bigstar\: \: \sf\bold{Present\: age\: of\: Asha\: :-}$

$\longrightarrow \sf y\: years$

$\longrightarrow \sf\bold{\red{4\: years}}$

$\bigstar\: \: \sf\bold{Present\: age\: of\: Sundar\: :-}$

$\longrightarrow \sf (y + 6)\: years$

$\longrightarrow \sf (4 + 6)\: years$

$\longrightarrow \sf\bold{\red{10\: years}}$

$\therefore$ The present age of Asha and Sundar are 4 years and 10 years respectively.