the present age of father is thrice the age of his son's present age.The sum of their ages 5 years hence will be 82 years. Find their present age?
Answers
Answer:
Age of son is 18
Age of father is 54
Step-by-step explanation:
Let the present age of son be x
Let the present age of father be 3x
Their age after 5 years:
Father: 3x + 5
Son: x + 5
Sum of their age after 5 years = 82
3x + 5 + x + 5 = 82
4x + 10. = 82
4x. = 82 - 10
x. = 72/4 = 18
Present age of son is x = 18
Present age of father is 3x = 3×18 = 54
Given :
⬤ Present Age of Father is thrice the age of his Son's Present age .
⬤ Sum of their ages 5 years hence will be 82 years .
To Find :
⬤ Present age of Father and Son .
Solution :
Let :
- Son age be x .
- Father age be 3x.
After 5 years :
- Son age = x + 5 .
- Father age = 3x + 5 .
Now :
x + 3x + 5 + 5 = 82
4x + 10 = 82
4x = 82 - 10
4x = 72
x = 72/4
x = 18
Therefore , The Value of x is 18 .
Hence ,
Age of Son = x
= 18
Age of Father = 3x
= 3(18)
= 54
Therefore , The Age of Son is 18 years and Age of Father is 54 years .