Question

A man is thrice as old as his son.five years ago the man was 4 times as old as his son.fimd their present age​

Answer 1

Answer:

Father is presently 45 years old and son is 15 years.

Step-by-step explanation:

A man is thrice as old as his son.

5 years ago the man was 4 times as old as his son.

Let their present ages be -

• Son's age = y
• Man's age = 3y

Ages 5 years ago,

• Son = (y - 5)
• Man = (3y - 5)

★ According to the Question,

$\longrightarrow$ 3y - 5 = 4(y - 5)

$\longrightarrow$ 3y - 5 = 4y - 20

$\longrightarrow$ 3y - 4y = -20 + 5

$\longrightarrow$ -y = -15

$\longrightarrow$ y = 15

Son's age = 15 years

___________________________

★ Man's age =

$\longrightarrow$ 3 × 15

$\longrightarrow$ 45

Father's age = 45 years

Therefore, father is presently 45 years old and son is 15 years.