One year ago, ratio of A's age to B's age was 5:6. After 4 years, this ratio becomes 6:7. How old is A?
(a) 31 years
(b) 25 years
(c) 26 years
(d) 36 years
Answers
Answered by
1
Answer:
25 yrs
Step-by-step explanation:
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Answered by
8
Answer :-
26 Years (Option C).
Explanation :-
Let,
- Age of A, one year ago = 5x.
- Age of B, one year ago = 6x.
So,
- Present Age of A = 5x + 1.
- Present Age of B = 6x + 1.
According to the Question,
⇒ (5x + 1 + 4)/(6x + 1 + 4) = 6/7.
⇒ (5x + 5)/(6x + 5) = 6/7.
⇒ 7(5x + 5) = 6(6x + 5).
⇒ 35x + 35 = 36x + 30.
⇒ 35x - 36x = 30 - 35.
⇒ -x = -5.
⇒ x = 5.
So,
- Present Age of A = 5x + 1 = 26 Years.
- Present Age of B = 6x + 1 = 31 Years.
We have to find Age of A.
Therefore, Age of A = 26 Years.
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