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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;
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

Comments

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

Comment

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.

Comment