Question 6

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Jambmaths 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 get N600 and Lawal N800. How is old is Lawal?

Option A: 

12years

Option B: 

14years

Option C: 

16years

Option D: 

20years

Jamb Maths Solution: 

$\begin{align}  & \text{Let the ages of Musa and Lawal be }x\text{ and }y \\ & x+y=28\text{ (sum of their ages)} \\ & \text{Total amount of money shared}=N600+N800=N1400 \\ & \text{Sharing Ratio} \\ & \frac{x}{28}\times 1400=600\text{     (Musa Share)} \\ & x=\frac{28\times 600}{1400}=12 \\ & \text{Musa }\!\!'\!\!\text{ s age }=12\text{ years old} \\ & \frac{y}{28}\times 1400=800\text{     (Lawal share)} \\ & y=\frac{800\times 28}{1400}=16 \\ & \text{Lawal }\!\!'\!\!\text{ s age }=16\text{ years old} \\\end{align}$

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