. The sum of the ages of A and B is 30 years.
Just after five years, A will be three times
older than B. Find their present ages.
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Step-by-step explanation:
Given:-
The sum of the ages of A and B is 30 years . just after five years, A will be three times older than B.
To find:-
find their present ages.
Solution:-
Let the present age of B=X years
then given that
Sum of ages of A and B =30 years
= Age of A+Age of B=30
=>Age of A+X=30
=>Age of A=30-X------(1)
After 5 years
Age of B=X+5 years
Age of A=30-X+5=35-X
According to the given problem
after five years, A will be three times older than B
=>35-X=3(X+5)
=>35-X=3X+15
=>-X-3X=15-35
=>-4X=-20
=>X=-20/-4
=>X=5
age of B=5 years
and from (1)
Age of A=30-5=25 years
Answer:-
Present Age of A=25 years
Present Age of B=5 years
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