Question

2 numbers are in the ratio 5:8 and their sum is 195 find these number

Answer 1

Dear student

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{common}\mathrm{ratio}\mathrm{between}\mathrm{two}\mathrm{numbers}\mathrm{be}\mathrm{x}. \\ \mathrm{So},\mathrm{first}\mathrm{number}=5\mathrm{x} \\ \mathrm{second}\mathrm{number}=8\mathrm{x} \\ \mathrm{A}.\mathrm{T}.\mathrm{Q} \\ 5\mathrm{x}+8\mathrm{x}=195 \\ \Rightarrow 13\mathrm{x}=195 \\ \Rightarrow \mathrm{x}=15 \\ \mathrm{So},\mathrm{first}\mathrm{number}=5\times 15=75 \\ \mathrm{second}\mathrm{number}=8\times 15=120 \end{gathered}$$
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