The ages of A, B and C are in the ratio 5:6:8 and the sum of their ages is 76. Find the ratio of 10 years ago B’s age to C’s age after 10 years.
Let the present age of A, B and C be 5x, 6x and 8x respectively. According to the question, => A + B + C = 76 => 5x + 6x + 8x = 76 => x = 4 B’s age 10 years ago = 6x – 10 = 24 – 10 = 14 C’s age after 10 years = 8x + 10 = 32 + 10 = 42 Required ratio = 14 : 42 = 1:3
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