Question

the ratio of present age of father and son is 5:3 the difference between their ages is 30years.find the present age.​

Answer 1

Answer:

Present age of father is 75 years and present age of son is 45 years.

Step-by-step explanation:

Given :-

• The ratio of present age of father and son is 5:3.
• The difference between their ages is 30 years.

To find :-

• Their present ages.

Solution :-

Let the present age of father be 5x years and the present age of son be 3x years.

★ The difference between their ages is 30 years.

According to the question,

5x - 3x = 30

→ 2x = 30

→ x = 30/2

→ x = 15

Therefore,

• Present age of father = 5×15 = 75 years.
• Present age of son = 3×15 = 45 years.

__________________

★ Verification :-

• Father's present age = 75 years
• Son's present age = 45 years

Ratio of their present ages = 5:3

→ 75:45 = 5:3

→ 5:3 = 5:3

Difference of their ages = 30

→ 75 - 45 = 30

→ 30 = 30

Hence Verified !