the present age of the father is 10 years less than twice the sum of his three children. Three years hence, fathers age would be 10 years more than the sum of the ages of his three children. Find the present age of the father
Answers
Answer:
present age of the father is 30years old .
Step-by-step explanation:
Given :-
The present age of the father is 10 years less than twice the sum of his three children. Three years hence, fathers age would be 10 years more than the sum of the ages of his three children.
To find :-
Find the present age of the father ?
Solution :-
Let the sum of the present ages of the three children of a man be X years
Then, The present age of the father
= 10 years less than the twice of the sum of his three children
= ( 2X-10 ) years
Father's age after three years
= 2X-10+3
= (2X-7 ) years
The sum of the ages of his children after three years = 3+3+3+X years
= x+9 years
Given that
Three years hence, fathers age would be 10 years more than the sum of the ages of his three children
=> 2X-7 = X+9 +10
=> 2X-7 = X+19
=> 2X-X = 19+7
=> X = 26 years
The sum of the present ages of his three children = 26 years
Their father's present age = (2X-10) years
=> 2(26)-10
=> 52-10
=> 42 years
Answer:-
The present age of their father for the given problem is 42 years