Question

The sum of three numbers is 98. The ratio of the first to the second is 2/3 and the ratio of the second to the third is 5/8. The second number is:

• A. 15
• B. 20
• C. 30
• D. 32
• E. 33

Answer 1

The correct option is C 30

Let a, b, c be the three numbers.

$a+b+c=98\frac{a}{b}=\frac{2}{3},\frac{b}{c}=\frac{5}{8}a=\frac{2b}{3},c=\frac{8b}{5}⟹\frac{2b}{3}+b+\frac{8b}{5}=98⟹\frac{49}{15}b=98\therefore b=30$