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The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
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The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.
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Mathematics
3 years
2021-09-04T05:17:55+00:00
2021-09-04T05:17:55+00:00 1 Answers
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Answer:
20, 50
Step-by-step explanation:
Let x and y represent the two numbers.
x + y = 70 . . . . . . their sum is 70
2x +10 = y . . . . . . one is 10 more than twice the other
Using the second equation to substitute for y in the first equation, we have …
x + (2x +10) = 70
3x = 60 . . . . . . . . . subtract 10
x = 20 . . . . . . . . . divide by 3
y = 70 -20 = 50 . . . find the other number
The two numbers are 20 and 50.