Question

sumit is 3 times as old as his son.five years later he shall be two and a half times as old as his son find sumit's present age

Answer 1

$<b>Answer:</b>$

15 years

$<b>Step-by-step explanation:</b>$

Let the son's present age is 'x'.

Then the father's present age is 3x.

$<b>Five years later:</b>$

Age of son = x + 5.

Age of father = 3x + 5.

$<b>According to the given condition,</b>$

⇒ 3x + 5 = (5/2)[x + 5]

⇒ 6x + 10 = 5[x + 5]

⇒ 6x + 10 = 5x + 25

⇒ x = 15

When x = 15:

Then, 3x = 45.

Therefore:

$<b>Present age of Summit = 15 years.</b>$

Hope it helps!

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Answer 2

Answer:

45

Step-by-step explanation:

Given:- Sumit is 3 times as old as his son. Five years later, he shall be two and a half times as old as his son.

To Find:- Sumit's present age.

Solution:-

Let the son's present age be x.

∴ Sumit's age = 3x.

After 5 years,

son's age = x + 5.

Sumit's age = 3x + 5.

According to the question,

             $3x + 5 = 2\frac{1}{2} (x+5)$

         ⇒ $3x+5 = \frac{5}{2}(x+5)$

         ⇒ $6x + 10 = 5x +25$

         ⇒ $6x - 5x = 25-10$

         ⇒ $x = 15 years.$

Since, son's present age is 15 years.

Therefore, Sumit's present age = 3 × 15 = 45 years.

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