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1. 3. The value of one of the numbers is 89 and the other is 40

   4. The score on the first test is 83 and score on the second test is 100

   Application of simultaneous equations

   From the question, we are to determine the value of the numbers

   From the given information,

   “One number is 9 more than twice another number“

   Let one of the numbers be x and the other be y

   Thus,

   x = 2y + 9 ——— (1)

   Also,

   “the sum of the numbers is 129“

   That is,

   x + y = 129 ———- (2)

   Solving

   Substitute equation (1) into equation(2)

   x + y = 129

   2y + 9 + y = 129

   2y + y = 129 – 9

   3y = 120

   y = 120/3

   y = 40

   Substitute the value of y into equation (1)

   x = 2y + 9

   x = 2(40) + 9

   x = 80 + 9

   x = 89

   Hence, one of the numbers is 89 and the other is 40

   From the question, we are to determine the scores on each test

   Let the score on the first test = m

   and score on the second test = n

   “Jane scored 17 points higher on her second test than on her first test“

   n = m + 17 ——– (1)

   Also,

   “the sum of the scores on the two tests is 183 points“

   n + m = 183

   Substitute equation (1) into equation(2)

   n + m = 183

   m + 17 + m = 183

   m + m = 183 – 17

   2m = 166

   m = 166/2

   m = 83

   Substitute the value of y into equation (1)

   n = m + 17

   n = 83 + 17

   n = 100

   Hence, the score on the first test is 83 and score on the second test is 100

   Learn more on Simultaneous equations here: https://brainly.com/question/26310043

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