## the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction

Question

the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction

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Mathematics
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2021-08-02T03:24:55+00:00
2021-08-02T03:24:55+00:00 1 Answers
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## Answers ( )

Step-by-step explanation:Given:–The numerator of a fraction is 6 less than the denominator. The sum of numerator and denominatir is 22.

Tofind:–Find the fraction ?

Solution:–Let the denominator be X

Then the numerator = 6 less than the denominator

=> X-6

Numerator = X-6

The sum of the numerator and the denominator = 22

=> X-6+X = 22

=>2X -6 = 22

=>2X = 22+6

=> 2X = 28

=> X = 28/2

=> X = 14

Denominator = 14

Numerator = 14-6 = 8

Answer:–The required fraction for the given problem is

8/14Check:–Numerator = 8

Denominator = 14

Numerator = 14-6

=> Denominator-6

and

Their sum = 8+14 = 22

Verified the given relations.