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22 votes
22 votes
One number is 6 times a second number. The sum of the two numbers is 56. Find the numbersOne number is 6 times a second number.

The sum of the two numbers is 56. Find the numbers

User Kalyaganov Alexey
by
2.6k points

2 Answers

11 votes
11 votes

Answer:

8 and 48

Explanation:

This can be written as a system of equations. X will be the smaller number and y will be the larger:

6x = y

x + y = 56

Then substitute y in the second equation for 6x(seen in first equation) and solve.

x + 6x = 56

7x = 56

x = 8

So one number is 8. To find the other plug in 8 for x in either of the original equations (both get the same answer for y).

6x = y

6 * 8 = y

48 = y

Then double check by seeing if they fit the requirements of the problem.

Hope this helps!

User AbdullahDiaa
by
2.4k points
20 votes
20 votes

Answer:

I think its 56 = 56

Explanation:

User Ji Fang
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2.8k points