A number doubled and has four added to it. The result is divided by three and then added to the product of the original number a

Question

docker41 [41]

2 years ago

11

A number doubled and has four added to it. The result is divided by three and then added to the product of the original number a

nd two. The resulting sum is twenty.

Mathematics

1 answer:

IrinaK [193] · Answer 1 · 2022-02-01T06:59:34+03:00

X= a number

(2x+4)/3 + (x+2)= 20
Multiply everything by 3 to eliminate the fraction
(3/1)((2x+4)/3) + (3)(x+2)= (3)(20)
2x+4+3x+6= 60
5x+10=60
Subtract 10 from both sides
5x=50
divide both sides by 5
x=10

Check:
Substitute answer in original equation
(2x+4)/3 + (x+2)= 20
(2(10)+4)/3+(10+2)= 20
(20+4)/3+12= 20
24/3+12= 20
8+12= 20
20=20

Hope this helps! :)