Question

mayank is 7/5 times as tall as vansh, if mayank is 38 cm taller than vansh what is mayanl's height?

Answer 1

Let Vansh's height be x cm.
Mayank's height = $\frac{7}{5}x$
Also, we are given Mayank's height = 38 cm taller than Vansh
$$\begin{gathered} \Rightarrow \frac{7}{5}x=x+38 \\ \Rightarrow \frac{7}{5}x-x=38 \\ \Rightarrow \frac{2}{5}x=38 \\ \Rightarrow x=\frac{38\times 5}{2} \\ \Rightarrow x=19\times 5 \\ \Rightarrow x=95\mathrm{cm} \\ \mathrm{Mayank}\text{'}\mathrm{s}\mathrm{height}=\frac{7}{5}x=\frac{7}{5}\times 95=7\times 19=133\mathrm{cm} \end{gathered}$$