3 years ago

A number, plus one-third of itself, plus one-eighth of itself, equals 70. What is the number?

1 answer:

3 0

X - the number

$x+\frac{1}{3}x+\frac{1}{8}x=70 \\
\frac{24}{24}x+\frac{8}{24}x+\frac{3}{24}x=70 \\
\frac{35}{24}x=70 \\
x=70 \times \frac{24}{35} \\
x=2 \times 24 \\
x=48$

The number is 48.

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