3 years ago

One fifth of one number and one fourth of a number are added, the result is 29. What is the original number?

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

5 0

Answer:

$\dfrac{580}{9}$

Step-by-step explanation:

$\dfrac{1}{5}x + \dfrac{1}{4}x = 29$

$\dfrac{4}{20}x + \dfrac{5}{20}x = 29$

$\dfrac{9}{20}x = 29$

$x = 29 \times \dfrac{20}{9}$

$x = \dfrac{580}{9}$

Answer: $\dfrac{580}{9}$

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