Ask Question
19 November, 19:00

The sum of 3 integers is 194. the sum of the first and second integers exceeds the third by 80. The third integer is 45 less than the first. Find the three integers

+1
Answers (1)
  1. 19 November, 19:38
    0
    Let

    x = first integer

    y = second integer

    z = third integer

    First equation: x + y + z = 194

    Second equation: x + y = z + 80

    Third equation: z = x - 45

    Let's find the values of x, y and z.

    Substitute 3rd eq to 1st eq:

    x + y + x - 45 = 194

    2x + y = 45 + 194

    y = - 2x + 239

    Plug in both we have solved for y and the 3rd eq to the 2nd eq to find x

    x + (-2x + 239) = (x - 45) + 80

    x - 2x - x = - 45 + 80 - 239

    -2x = - 204

    x = - 204/-2

    x = 102

    Solving for y,

    y = - 2 (102) + 239

    y = 35

    Solving for z,

    z = 102 - 45

    z = 57
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The sum of 3 integers is 194. the sum of the first and second integers exceeds the third by 80. The third integer is 45 less than the ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers