The sum of three numbers is 58. The ratio of first to second is 4 : 9 and the…
2013
The sum of three numbers is 58. The ratio of first to second is 4 : 9 and the second to third is 9 : 16, then sum of first and third numbers is
- A.
40
- B.
29
- C.
28
- D.
50
Attempted by 101 students.
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Correct answer: A
First, combine the ratios. Since the second number is 9 in both ratios (4:9 and 9:16), the combined ratio of the three numbers is 4 : 9 : 16. Let the numbers be 4x, 9x, and 16x.
Their sum is given as 58, so 4x + 9x + 16x = 58. This simplifies to 29x = 58, which gives x = 2.
The first number is 4(2) = 8 and the third number is 16(2) = 32. The sum of the first and third numbers is 8 + 32 = 40.