the sum of ages of a son and his father is 35 years and product is 150 yrs.find their ages
Answers
✨Answer:
Son's age is 5 yrs and father age is 30 years.
✨Step-by-step explanation:
✔️Let sons age be x.
✔️Fathers age be y.
Sum of ages = 35 yrs
Product of ages = 150 yrs.
X + y = 35
Xy = 150
➡️Y = 35-x.
Xy = x(35-x)
Or,
x (35 - x) = 150
35x - x^2 = 150
Multiply by - 1 :
x^2 - 35x = - 150
x^2 - 35x + 150 = 0
X^2 - 30x - 5x + 150 = 0
x(x - 30) - 5 (x - 30) = 0
(x-5) (x - 30) = 0
x = 5 yrs or x = 30 yrs
When x = 5,
Sons age = 5 yrs
Fathers age = 35 - 5 = 30 yrs
When x = 30
Sons age = 30 yrs
Fathers age = 35 - 30 = 5 yrs
This is logically not possible.
Therefore, x = 5 yrs.
➡️ Son's age = 5 yrs
➡️ Father's age = 30 yrs.
Hence age of son is 5 years and age of father is 30 years.
Answer:
Step-by-step explanation:
Let sons age be x.
and Fathers age be y.
Sum of ages = 35 yrs
Product of ages = 150 yrs.
X + y = 35
Xy = 150
➡Y = 35-x.
Xy = x(35-x)
Or,
x (35 - x) = 150
35x - x^2 = 150
Multiply by - 1 :
x^2 - 35x = - 150
x^2 - 35x + 150 = 0
X^2 - 30x - 5x + 150 = 0
x(x - 30) - 5 (x - 30) = 0
(x-5) (x - 30) = 0
x = 5 yrs or x = 30 yrs
When x = 5,
Sons age = 5 yrs
Fathers age = 35 - 5 = 30 yrs
When x = 30
Sons age = 30 yrs
Fathers age = 35 - 30 = 5 yrs