Question

THE DENOMINATOR OF A RATIONAL NUMBER IS GREATER THAN THE NUMERATOR BY 5. IF THE NUMERATOR IS INCREASED BY 11 AND THE DENOMINATOR IS DECREASED BY 3 . THE RESULT OBTAINED IS 5/2 FIND THE RATIONAL NUMBER

Answer 1

Answer:- let numerator be = x

               denominator = x + 5

numerator increased by 11 = 11 + x

denominator decreased by 3 = x + 5 - 3

                                                   = 2

       = x + 11 + 5/2

           x + 2      

now cross multiply= 2 (x+11) = 3(x+2)

use the distributive property = 2x+22 = 3x+6

now group the numbers and change the signs while grouping = 2x-3x = 6-22

                           =       -x = -16

cancel the signs as it is common = x = 16

therefore N= 16

                D= 16+5=21

ANSWER=16/21

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