waecmaths question:
The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola’s age to Musa is 4:5, what is the ratio of Tunde’s ag to Musa’s age?
Option A:
1 : 4
Option B:
1 : 5
Option C:
2 : 5
Option D:
5 : 2
waecmaths solution:
$\begin{align} & T:O=1:2 \\ & \frac{T}{O}=\frac{1}{2} \\ & T=\frac{1}{2}(O)----(i) \\ & O:M=4:5 \\ & \frac{O}{M}=\frac{4}{5} \\ & M=\frac{5}{4}(O) \\ & T:O:M=\frac{1}{2}(O):O:\frac{5}{4}(O) \\ & T:O:M=\frac{1}{2}:1:\frac{5}{4} \\ & \text{Multiply through by 4} \\ & 4T:4O:4M=2:4:5 \\ & \therefore T:M=2:5 \\ & \text{i}\text{.e}\text{. }Tunde:Musa=2:5\text{ (option C)} \\\end{align}$
maths year:
maths topics: