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The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum o...


Question

The sum of the ages of Musa and Lawal is 28 years. After sharing a certain sum of money in the ratio of their ages, Musa gets ₦600 and Lawal ₦800. How old is Lawal?

Options

A) 14 years

B) 20 years

C) 12 years

D) 16 years

The correct answer is D.

Explanation:

M + L = 28,
M : L = 600 : 800
= 3 : 4
\(\frac{M}{L}\) = \(\frac{3}{4}\) \(\to\) M = \(\frac{3}{4}\)L
\(\frac{3}{4}\)L + L = 28
\(\frac{7L}{4}\) = 28
L = \(\frac{4 \times 28}{7}\)
= 16

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Dicussion (1)

  • M + L = 28,
    M : L = 600 : 800
    = 3 : 4
    \(\frac{M}{L}\) = \(\frac{3}{4}\) \(\to\) M = \(\frac{3}{4}\)L
    \(\frac{3}{4}\)L + L = 28
    \(\frac{7L}{4}\) = 28
    L = \(\frac{4 \times 28}{7}\)
    = 16