A. 1 B. 2 C. 3 D. 4 The ages of Tunde and Ola are ir the ratio \( 1: 2 \). If the ratio of Ola' age to Musa's age is \( 4: 5 \), what the ratio of Tunde's age to Musa age?

To find the ratio of Tunde's age to Musa's age, first, let's define the ages based on the ratios given. If Tunde's age is \( x \), then Ola's age is \( 2x \) since their ratio is \( 1:2 \). Next, we know that Ola's age to Musa's age is \( 4:5 \). Since Ola's age is \( 2x \), we can set up the equation: \[ \frac{2x}{M} = \frac{4}{5} \] Cross-multiplying gives us: \[ 5 \cdot 2x = 4M \implies 10x = 4M \implies M = \frac{10x}{4} = \frac{5x}{2} \] Now, we can find the ratio of Tunde's age to Musa's age: \[ \frac{Tunde's\ age}{Musa's\ age} = \frac{x}{\frac{5x}{2}} = \frac{x \cdot 2}{5x} = \frac{2}{5} \] So, the ratio of Tunde's age to Musa's age is \( 2:5 \). In summary, Tunde's age is to Musa's age as \( 2 \) is to \( 5 \)!