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1/7x + 1/5x = 24

Convert 1/7 and 1/5 so that they have a common denominator.

(5/5)1/7x + (7/7)1/5x = 24

5/35x + 7/35x = 24

Add the two fractions.

12/35x = 24

Divide both sides of the equation by 12/35.

(12/35x) /(12/35) = 24/(12/35)

When dividing by a fraction, invert the fraction and multiply instead.

x = 24/(12/35) = 24 x (35/12) = 70

x = 70

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Q: When one-seventh of a number is added to one-fifth of a number the sum is 24 What is the number?
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