Pair of numbers

What is the value of the smaller of a pair of numbers for which their sum is 78, and their division quotients are 0.3?

Correct answer:

a =  18

Step-by-step explanation:

$$\begin{gathered} a+b=78 \\ a\mathrm{/}b=0.3 \\ a=0.3b \\ a=0.3\cdot (78-a) \\ 1.3a=23.4 \\ {\displaystyle \frac{13}{10}}a={\displaystyle \frac{117}{5}} \\ 13a=234 \\ a=234\mathrm{/}13=18 \\ b=78-a=78-18=60 \\ a=18=18 \end{gathered}$$

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