Question

One-eighth of a number added to one sixth of the number equals 21. find the number.

Answer 1

Answer:

72

Step-by-step explanation:

let the number be x

x/8 + x/6 =21

taking the LCM

3x/24 + 4x/24 =21

7x=21*24

x=21*24/7

x=24*3

x=72

Answer 2

Answer:

72

Step-by-step explanation:

$\frac{1}{8}x+\frac{1}{6}x=21$

Give the fractions on the left a common denominator

$\frac{6}{48}x+\frac{8}{48}x=21$

Combine the x values

$\frac{14}{48}x=21$

Simplify $\frac{14}{48}$

$\frac{7}{24}x=21$

Multiply both sides by the reciprocal of $\frac{7}{24}$ ( $\frac{24}{7}$)

$x= 72$

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