The sum of the ages of 3 persons is 150 years. 10 years ago their ages were in the ratio
7:8:9. Their present ages are
(a) (45, 50, 55)
(b) (40, 60, 50) (c) (35, 45, 70)
(d) none of these
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ten years ago, their ages were in the ratio 7:8:9, so you can assume their ages 10 years ago to be 7x, 8x and 9x respectively.
as of now, their ages would be 7x + 10, 8x + 10 and 9x + 10
the sum of these ages is 150, so:
7x + 10 + 8x + 10 + 9x + 10 = 150
or, 24x + 30 = 150
or, 24x = 150 - 30 = 120
or, x = 120/24 = 5
so their present ages are 7*5 + 10, 8*5 + 10 and 9*5 + 10
i.e. 45, 50 and 55 (a)
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