The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.​

Question

The sum of two numbers is 70. One number is ten more than twice the other number. Find the numbers.​

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Mít Mít 1 year 2021-09-04T05:17:55+00:00 1 Answers 42 views 0

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    2021-09-04T05:19:52+00:00

    9514 1404 393

    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.

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