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16 October, 02:35

He sum of two numbers is 46 and the difference is 2. What are the numbers?

large number is

the small number is

+4
Answers (2)
  1. 16 October, 03:45
    0
    Let us condense your question in the form of system of equations,

    x + y = 46

    x - y = 2

    Now, x = 46 - y

    Thus,

    46-y - y = 2

    46 - 2y = 2

    -2y = - 44

    Thus, y = 22.

    x + y = 46

    x + 22 = 46

    Thus, x = 24.

    Thus, the greater number is 24 and smaller number is 22.
  2. 16 October, 04:36
    0
    A + b = 46

    a-b = 2

    solve one of the equations for a ...

    a + b = 46

    a = b + 2

    solve for "b" using substitution ...

    (b + 2) + b = 46

    2b + 2 = 46

    2b = 44

    b = 22

    solve for "a" with substitution ...

    a + (22) = 46

    a = 24

    Smaller Number: 22

    Bigger Number: 24
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