Learning Task 2: Solve each of the following problems. Write your answers and solutions on a separate sheet of paper.
1. Aiah is y years old now. Find her current age if she will be celebrating her eighteenth birthday five years from now.
2. Markee is fourteen centimeters taller than Prince. If the sum of their heights is 249 centimeters, find the height of each boy.
3. Three consecutive even numbers has an average of 86. What are the numbers?
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Answer and Step-by-step explanation:
1)
y + 5 = 18
y = 18 - 5
y = 13
Aiah's current age is 13.
2)
(14+x )+ x = 249
2x = 249 - 14
2x = 235
x = 117.5
Markee's height was 131.5cm while Prince's height was 117.5cm.
3)
86 = (x + x + 2 + x + 4) ÷ 3
86 = 3x + 6 ÷ 3
86 = 3 (x + 2) ÷ 3
86 = x + 2
x + 2 = 86
x = 86 - 2
x = 84 ∴
x = 84
x + 2 = 86
x + 4 = 88
The three consecutive even numbers has an average of 86 were 84, 86, and 88.
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