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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
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
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