Question

the percentage of a father four times the age of his son after 10 years age of father will became three time the age of his son find the present age ? ​

Answer 1

Let the age of son be x years.

The father's age is 4 times the age of his son’s now.

Thus the present age of father is 4x

10 years ago, the father was 10 times as old as his son

10 years ago their ages, Son's age x - 10 years and father's age 4x - 10

(4x - 10) = 10 (x - 10)

4x - 10 = 10x - 100

4x - 10x = —100 + 10

--6x = —90

x = 90/6

x = 15

Son's present age is 15 years

Father's present age 4x = 4 × 15 = 60 years

Answer: father's present age is 60 years

Checking the correctness of answer by calculating their ages 10 years ago.

Son's age 10 years ago was 15 - 10 = 5 years ,

Father's age 10 years ago was 60 - 10 = 50 years

Father's age is 10 times of son's age.

It means answer is correct.

Follow me dear for your future doubts ❤️❤️

Answer 2

$\huge\sf\pink{Answer}$

☞ Present Age of Son = 20 years

☞ Present Age of Father = 80 years

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ The present age of a father 4 times the age of his son

✭ After 10 years, the age of father will become 3 times the age of his son

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ Their Present Ages?

$\rule{110}1$

$\huge\sf\purple{Steps}$

➳ Let the Present age of son be x years

➳ Present age of father = 4x years

After 10 years,

◕ Age of father = (4x+10) years

◕ Age of son = (x+10) years

$\bullet\underline{\textsf{As Per the Question}}$

$\dashrightarrow\sf{4x+10=3(x+10)}$

$\dashrightarrow\sf{4x+10=3x+30}$

$\dashrightarrow\sf{4x-3x=30-10}$

$\orange{\dashrightarrow\sf x=20}$

$\rule{100}{1.5}$

➢ Present age of son = 20 years

➢ Present age of father = 4×20 = 80 years.

$\rule{170}3$