Question

A number is such that ratio of 21 less
than the number and difference of 72
and the number is 2:3 find the number

Answer 1

Answer:

Let the no. be x

\begin{gathered}acc. \: to \: question \: \\ \\ \frac{x - 21}{72 - x} = \frac{2}{3} \\ 3(x - 21) = 2(72 - x) \\ 3x - 63 = 144 - 2x \\ 3x + 2x = 144 + 63 \\ 5x = 207 \\ x = \frac{207}{5} = 41.5\end{gathered}

acc.toquestion

72−x

x−21

=

3

2

3(x−21)=2(72−x)

3x−63=144−2x

3x+2x=144+63

5x=207

x=

5

207

=41.5