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T and E are sisters. The ratio of their ages when their brother was born was 6 : 5. The ratio of their ages when their brother was 12 years was 10 : 9. Find the age of T when her brother got married at the age of 28.

T and E are sisters. The ratio of their ages when their brother was born was 6 : 5. The ratio of their ages when their brother was 12 years was 10 : 9. Find the age of T when her brother got married at the age of 28. Correct Answer 46, 43 years

Ratio of ages of T and E at the time of their brother’s birth = 6 : 5 Let these ages be in terms of x. Their ages then = 6x, 5x Ratio of their ages 12 years later = 10 : 9 Their ages after 12 years = 6x + 12, 5x + 12 (6x + 12) : (5x + 12) = 10 : 9 (6x + 12) / 10 = (5x + 12) / 9 9 * (6x + 12) = 10 * (5x + 12) 54x + 108 = 50x + 120 54x – 50x = 120 – 108 4x = 12 X = 12 / 4 = 3 years Their age when brother was born = 6x, 5x = 18, 15 years Their ages when their brother got married = Their ages at the time of brother’s birth + 28 18 + 28, 15 + 28 = 46, 43 years

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