31. A man's age is three times the sum of the ages of his two sons. After
5
years, his
age
will be twice the sum of the ages of his two sons. Find
the
age
of the man.
(CBSE 2022
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Answer:
45 Years
Step-by-step explanation:
Let the sum of ages of two sons be x years
Age of man = 3x years
After 5 years age of the man =(3x+5)years
Sum of ages of two sons =(x+10)years
Given, (3x+5)=2(x+10)
⇒ (3x+5)=2x+20
⇒ x=15
Hence 3x=3(15)=45
∴ Present age of father is 45years.
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