4 years later a father will be 8 years less than 3 times the age of his son.present age of father and son be x and y then write linear equation then find the age of father while son age is 10 yrs.
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Answered by
40
Let age of father be x
And age of son be y
After four years
Age of father will be x+4
Age of son will be y+4
According to the question
x+4 = 3(y+4) - 8
⇒ x+4 = 3y + 12 - 8
⇒ x+4 = 3y + 4
⇒ x+4 - 4 = 3y
⇒ x = 3y
Given that son`s age = 10 yrs
⇒ y = 10
Father`s age = x = 3y
⇒ x = 3 ×10
∴ x = 30
∴ Age of father = 30 years
And age of son be y
After four years
Age of father will be x+4
Age of son will be y+4
According to the question
x+4 = 3(y+4) - 8
⇒ x+4 = 3y + 12 - 8
⇒ x+4 = 3y + 4
⇒ x+4 - 4 = 3y
⇒ x = 3y
Given that son`s age = 10 yrs
⇒ y = 10
Father`s age = x = 3y
⇒ x = 3 ×10
∴ x = 30
∴ Age of father = 30 years
Answered by
13
Step-by-step explanation:
age of father is 30 year
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