Question

The ages of tunde and ola are in the ratio 1:2. If the ratio of ola's age to musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

Answer 1

$\bf{ᗩnswer}$

$\sf \red{2 : 5} \: is \: the \: ratio \: of \:Tunde's \: age \: to \: Musa's \: age.$

Step Wise Explanation

The ages of Tunde and Ola are in the ratio 1 : 2.

$\sf \dfrac{Tunde \: age}{Ola \: Age} = \dfrac{1}{2}$

The ages of Ola to Musa are in the ratio 4 : 5.

$\sf \dfrac{Ola \: Age}{Musa \:Age} = \dfrac{4}{5}$

In above ratios, we find Ola Age appearing 2x as well as 4x. To make Ola Age common let's multiply 2 in both numerator and denominator of first appearing fraction.

$\sf \dfrac{Tunde \: age}{Ola \: Age} = \dfrac{1}{2} \times \dfrac{2}{2} = \pink{\dfrac{2}{4} }$

Thus, Ratio of all three via Tunde , Ola and Musa ages are 2 : 4 : 5.

$\rm{To \: Find}$

The ratio of Tunde's age to Musa's age and that is 2 : 5.