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  3. The larger of two numbers exceeds twice the smaller number by The sum of twice t

The larger of two numbers exceeds twice the smaller number by The sum of twice t

游客2024-01-12  25
问题 The larger of two numbers exceeds twice the smaller number by The sum of twice the larger and 5 times the smaller number is 7If a is the smaller number, which equation below determines the correct value of a?
选项 A、5(2a + 9)+ 2a=74
B、5(2a-9)+ 2a=74
C、(4a+ 9)+5a = 74
D、2(2a + 9)+ 5a = 74
E、2(2a-9)+ 5a = 74
答案 D
解析 The correct answer is D. To solve this problem, first convert the information given into its mathematical equivalent, as follows(use b to represent the larger number):
The larger of two numbers exceeds twice the smaller number by 9:
b = 2a + 9
The sum of twice the larger and five times the smaller number is 74:
2b + 5a = 74
Now, simply substitute the value of b into the second equation in order to solve for a:
2(2a + 9)+ 5a = 74
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