If 20 is added to a certain number and the sum is divided by 5, the result is 1 more than 12 of the original number. Find the original number

Question

need additional help

Answer 1

First, we translate the information that the question gives us:

20+x is "twenty added to a certain number"

(20+x)/5 is "the sum divided by five"

1+12x is "one more than twelve times the original number"

Putting it all together, we get the following equation:

(x+20)/5 = 1 + 12x

Solve for x:

x+20=5(1+12x)

x+20=5+60x

20-5=60x-x

15=59x

15/59 = x

Therefore, the original number was 15/59