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# One number is four times grater than another number. The sum of the numbers is 78. What are the two numbers?

i need helppppppp

### 2 Answers by Expert Tutors

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
2
Hi Jessica;
I am always happppppppy to helpppppp!
FIRST NUMBER...x
SECOND NUMBER...x+4x

(x)+(x+4x)=78
x+x+4x=78
6x=78
Let's divide both sides by 6...
(6x)/6=78/6
x=13

x+4x
13+4(13)=13+52=65

13+65=78

Four times greater means four times as great.
I understand what you are saying, but the two interpretations are not grammatically consistent.

four times as great=4x
four times greater=x+4x
John M. | John - Algebra TutorJohn - Algebra Tutor
0
Let the the first number be  x
and the second number be  y

y is 4 times greater than x,   y=4x

the sum is 78,   x+y=78

Substitute....   x+4x = 78
add the x's...   5x = 78
divide by 5...    x = 78/5
then ...            x = 15.6
and ...  y=4x... y = 62.4

solution:  x = 15.6, y = 62.4

Alternatively, you can change them to proper fractions:

x = 78/5 = 15 3/5
y = 312/5 = 62 2/5