2023 · Q11
If a, b, c, d, e and f satisfy2a = 3b = 6c = 9d = 12e = 18f, then what is the value of (a + b)/(c + d + e + f)?
Elementary MathematicsAlgebra
- A4/7
- B2
- C5/2
- D9/2
Explanation
Setting each expression equal to k gives a = k/2, b = k/3, c = k/6, d = k/9, e = k/12, f = k/18. Then a + b = 5k/6 and c + d + e + f = k(1/6 + 1/9 + 1/12 + 1/18) = 5k/12. Their ratio is (5k/6)/(5k/12) = 2 (B).