SOLUTION: Last year, Singer A performed five more than two times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Tea
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Question 1151127: Last year, Singer A performed five more than two times as many shows during concert tours than Team B. The number of Singer A concert tour shows exceeded the number of shows by Team B by 23. How many concert shows did each perform? Answer by ikleyn(52925) (Show Source):
Last year . . .
A = 2B + 5 (1)
The number . . .
A = B + 23. (2)
Equations (1) and (2) have the same left sides --- hence, their right sides are equal :
2B + 5 = B + 23.
It implies
2B - B = 23 - 5
B = 18.
ANSWER. B = 18, A = B + 23 = 18+23 = 41.
