Answered

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If a certain number is added to the numerator and denominator of5/11 the result is 2/3 find the number

Sagot :

In order to find the missing number, you can write the given situation in an algebraic way, as follow:

(5 + x)/(11 + x) = 2/3

where x is the missing number. To solve the previous equation for x, proceed as follow:

(5 + x)/(11 + x) = 2/3 multiply by 3(11 + x) both sides

3(5 + x) = 2(11 + x) apply distributive property both sides

15 + 3x = 22 + 2x subtract 2x and 15 both sides

3x - 2x = 22 - 15 simplify like terms

x = 7

Hence, the missing number is 7

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