Question

•If a certain number is added both to the numerator
and to the denominator of 9/17, the new fraction
reduces to 5/7. Find the number?​

Answer 1

Answer:

let that no. be 'x'

Step-by-step explanation:

(9+x)/(17+x) = 5/7

63 + 7x = 85 + 5x

2x = 22 => x = 11

the required No. is 11 Answer

Answer 2

• Let the number be M.

》 If a certain number is added both to the numerator and to the denominator of 9/17, the new fraction reduces to 5/7.

Here..

Numerator = 9 and Denominator = 17

According to question,

=> $\dfrac{9 \: + \: M}{17 \: + \: M}\:=\:\dfrac{5}{7}$

Cross multiply them

=> 7(9 + M) = 5(17 + M)

=> 63 + 7M = 85 + 5M

=> 7M - 5M = 85 - 63

=> 2M = 22

=> M = 22/2

=> M = 11

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Number = 11

____________ [ ANSWER ]

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☆ VERIFICATION :

From above calculations we have M = 11

Put value of M in this : (9 + M)/(17 + M) = 5/7

=> (9 + 11)/(17 + 11) = 5/7

=> 20/28 = 5/7

=> 5/7 = 5/7

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