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If a number is increased by 14 and the result is multiplied by 2/3, the answer is 60. Find the original number.


Sagot :

Answer:

76

Step-by-step explanation:

Firstly I called the original number 'y'

Then i formulated an equation by adding in the processes mentioned in the question: (y + 14) x 2/3 = 60

Then i solved the equation

First I multiplied (y + 14) by 2/3: (y + 14) x 2/3 = (2/3 x y) + (14 x 2/3) = 2y/3 + 28/3

I simplified that to 2y + 28/3 = 60 since you can add fractions which have the same denominator

Then to get rid of the fraction i multiplied both sides by 3 to get 2y + 28 = 180

Then i took away 28 from both sides to get 2y = 152

Then i divided both sides by 2 to get 'y'(the original number) on its on: y = 76