Question

If one fifth of a number increased by 5 is equal to 4 less than one fourth of that number, what is the number?



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Answer 1

Explanation:

Hey mate i will help u

If one fifth of a number increased by 5 is equal to 4 less than one fourth of that number, what is the number?

Solution :

Hey)

Step-by-step explanation:

Let the number be a

$= > \: \frac{1}{4}a - 4 = \frac{1}{5} a + 5 \\ = > \: taking \: variable \: term \: on \: 1side \: and \: nos \: on \: other \: side \\ = > \frac{1}{4} a - \frac{1}{5} a = 5 + 4 \\ \frac{a}{20} = 9 \\ \\ shifting \: \: 20 \: to \: right \: hand \: side \\ \: a = 20 \times 9 \\ a = 180$

Therefore

The number is 180

Answer 2

Answer:

Explanation:

LET THE NUMBER BE X

ONE FIFTH OF X = X/5

4 LESS THAN ONE FORTH OF X = 1/4 - 4

BOTH STATEMENT ARE EQUAL

THEREFORE,

X/5=X/4 - 4

4 = X/4 -X/5

4 = 5X/20 - 4X/20

4 = X/20

4 x 20 =X

X= 80