Question
The sum of three numbers is 178. If the ratio of the
first to the second is 2:5 and that of second to the third is 7:8, then find the second number.Solution
Let the first, second and third number be a,b and c respectively. a : b = 2 : 5 b : c = 7 : 8 a : b : c = 2×7 : 5×7 : 8×5 a : b : c = 14 : 35 : 40 a + b + c = 178 => 89k = 178 => k = 2 Therefore, the second number is (b) = 35 × 2 = 70
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