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Question:-
A is now 9 years older than B. In 10 years, A will be twice as old as B was 10 years ago. Find their present ages.
Answer:-
Present age:-
Let the age of B be x years
Then age of A = (x + 9) years
10 years later:-
Age of A = x + 9 + 10 = (x + 19) years
Age of B = x + 10 = (x + 10) years
10 years ago:-
Age of A = x + 9 - 10 = (x - 1) years
Age of B = (x - 10) years
Given: In 10 years, A will be twice as old as B was 10 years ago
A/q
x + 19 = 2(x - 10)
=> x + 19 = 2x - 20
=> x = 39 years
Present ages:-
- Age of A = x + 9 = 48 years
- Age of B = x = 39 years
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