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The larger of two numbers is seventeen more than seven times the smaller number the larger number is also one hundred thirty-two more than two times the smaller number what are the numbers?
Wiki User
∙ 14y ago
a = Larger number
b = Smaller number
a - 17 = 7b ... (1)
a - 132 = 2b ... (2)
Rearrange (2)
a = 2b + 132 (3)
Substitute (3) into (1)
2b + 132 - 17 = 7b
(Take 2b from both sides)
132 - 17 = 5b
5b = 115
b = 23
Substitute b = 23 into (2)
a - 132 = 2 x 23
a - 132 = 46
a = 46 + 132
a = 178
Wiki User
∙ 14y ago
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