5 years ago the ratio of ages of A and B are 5 7 and 10 years hence from now ratio will become 4 5 F...........

Quantitative Aptitude (MPPCS) Problems based on Ages

5 years ago the ratio of ages of A and B are 5:7 and 10 years hence from now ratio will become 4:5. Find the average of present age of A and B.

30 years

40 years

35 years

45 years

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Explanation:

Solution:
—————————–A ———— B
5 years ago ————- 5 ———- 7
10 years hence ——– 4 ———–5
Difference = ——– (-1)——– (-2)
to make these two difference equal multiply the second equation with (7-5)=2
So we get
—————————–A ———— B
5 years ago ————- 5 ———- 7
10 years hence ——– 8 ———–10
Difference = ——– (+3)——– (+3)
3=15 years (5 ago + 10 hence)
1=5 years
=> 5 = 25 years (5 years ago of A)
=>7=35 years (5 years ago of B)
Hence A=25+5=30
B=35+5=40 years
Avg=70/2=35