The sum of two numbers is twenty-one. One number is nineteen less than four times the other. Find the numbers.
1 answer:
9514 1404 393
Answer:
8, 13
Step-by-step 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.
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