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The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.

User Mspolitaev
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1 Answer

9 votes

9514 1404 393

Answer:

8, 13

Explanation:

The given relationships can be put into two equations. Let x and y represent the numbers.

x + y = 21 . . . . . their sum is 21

y = 4x -19 . . . . .one is 19 less than 4 times the other

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Substituting for y in the first equation, we get ...

x + (4x -19) = 21

5x = 40 . . . . . . . . . add 19

x = 8 . . . . . . . . . . . divide by 5

y = 4(8) -19 = 13

The two numbers are 8 and 13.

The sum of two numbers is twenty-one. One number is nineteen less than four times-example-1
User Guitarflow
by
4.6k points
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