Question

the present age of father is four times the age of his son.after 10 years age of father will become three times the age of his son, find father age after 10 years​

Answer 1

Answer:

20 years

Step-by-step explanation:

4x+10=3x+30 x=20

Answer 2

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Given

• Present age of father is 4 times of his son
• After 10 yrs son's age will become 3 times of his father

To Calculate

• Father's age after 10yrs

Solution

Let the son's present age be x

Father's present age = 4x

$\bf \blue{after \: 10 \: yrs}$

Son's age = x + 10

Father's age = 4x + 10

$\bf \pink{according \: to \: question}$

$\bf \implies 4x + 10 = 3(x + 10)$

$\bf \implies 4x + 10 = 3x + 30$

$\bf \implies 4x - 3x = 30 - 10$

$\bf \implies x = 20yrs$

$\bf \purple{present \: age \: of \ratio - }$

• Son = x = 20yrs
• Father = 4x = 4 × 20 = 80yrs

Father's age after 10yrs = 80 + 10 = 90yrs

Therefore, Father's age after 10yrs is 90yrs.