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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?

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# 2 Answers

Hi Jessica;

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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

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

# Comments

Hi John;

I understand your answer.

However, I think

*four times grater than another number*means x+4x, not 4x.
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