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Home » Brain Teasers » The Smart Scholar Method
 Puzzle # 9 Fixing the fruity enigma
Easy does it! The Smart Scholar Method
5 a + 12 m + 19 p = 275 … … … (A)
Look at the equation closely. The number of apples is 7 less than the number of mangoes which is 7 less than the number of pears.
(B) can be rewritten as:
23 a + 19 m + 15 p = 360 … … … (C)
Look at the equation closely. The number of apples 4 more than the number of mangoes which is 4 more than the number of pears.
(A) x 4 gives 20 a + 48 m + 76 p = 1100 … … (D)
(C) x 7 gives 161 a + 133 m + 105 p = 2520 … … (E)
Adding (D) and (E):
181 a + 181 m + 181 p = 3620
Dividing by 181, a + m + p = 20.
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