Question

mister boss is 5 times as old as his son . 6years later he will be3times as old as his son .Find the present age of Mr. Boss.​

Answer 1

Given :

• Mister Boss is 5 times old as his son.
• 6 years later Mr. Boss will be 3 times as old as his son.

To find :

• Present age of Mr. Boss?

Solution :

☯ Let Present age of son be = x years

☯ Therefore, Present age of Mr. Boss = 5x years

Their Ages after 6 years,

• Age of son = (x + 6) years
• Age of Mr. Boss = (5x + 6) years

★ According to the Question:

⇒ 5x + 6 = 3(x + 6)

⇒ 5x + 6 = 3x + 18

⇒ 5x - 3x = 18 - 6

⇒ 2x = 12

⇒ x = 6

Therefore,

• Present age of son, x = 6 years
• Present age of Mr. Boss, 5x = 5 × 6 = 30 years

∴ Hence, Present age of son and Mr. Boss is 6 years and 30 years respectively.

Answer 2

Answer:

$\huge \bf \: required \: answer$

$\small \sf \green {let}$

Present age of son = x

Father age = 5x

Ages after 6 years

$\sf \: son \: age \: = (x + 6)$

$\sf \: father \: age \: = (5x + 6)$

According to the question

$\sf \: 5(x + 6) = 3(x + 6)$

$\sf \: 5(x + 6) = 3x + 18$

$\sf \: 5x - 3x = 18 - 6$

$\sf \: 2x = 12$

$\sf \: x = \frac{12}{2}$

$\sf \: x = 6$

Present age of son = 6 years

Father age = 6(5) = 30 years