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 N600 and Lawal N800. How old is Lawal?
A
14 years
B
20 years
C
12 years
D
16 years
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #30393)