Algebra

1. The sum of the ages of James and Remy 5 years ago was 44. Twenty-two years from now, James' age will be 52 less than twice3 Remy's age then. Find their present ages.

2. Two numbers have a sum of 41. Their difference is 5. What are the numbers?

3. The perimeter of a football field is 320 yards. Its length measures 40 yd more than its width. Find the dimensions of the field.

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  1. (j-5) + (r-5) = 44

    (j+22) + 52 = 2 (r+22)

    j + r = 54
    so
    j = (54-r)
    then
    (54 - r + 22) + 52 = 2 r + 44
    128-r = 2 r + 44
    3 r = 84
    r = 28
    j = 26
    =================================
    x and (41-x)
    (41-x) - x = 5
    etc
    =========================
    2 L + 2 W = 320
    W = (L-40)
    so
    L + (L-40) = 160
    etc

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    2. 👎 0
    posted by Damon
  2. (j-5) + (r-5) = 44

    (j+22) + 52 = 2 (r+22)

    j + r = 54
    so
    j = (54-r)
    then
    (54 - r + 22) + 52 = 2 r + 44
    128-r = 2 r + 44
    3 r = 84
    r = 28
    j = 26
    =================================
    x and (41-x)
    (41-x) - x = 5
    etc
    =========================
    2 L + 2 W = 320
    W = (L-40)
    so
    L + (L-40) = 160
    etc

    1. 👍 0
    2. 👎 0

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