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Lady_Fox [76]
2 years ago
12

Manoj and Tamar are arguing about how a number trick they heard goes. Tamar tells their friend Andrew to think of a number, mult

iply it by five, and subtract three from the result. Then Manoj tells Andrew to think of a number, add five, and multiply the result by three. Andrew says that whichever way he does the trick he gets the same answer. What was Andrew's number? Justify your answer.
Mathematics
1 answer:
Lemur [1.5K]2 years ago
8 0
X - Andrew`s number;
x * 5 - 3 = ( x + 5 ) * 3
5 x - 3 = 3 x + 15
5 x - 3 x = 15 + 3
2 x = 18
x = 18 : 2
x = 9
Andrew`s number is 9.
Justify:
9 - 5 - 3 = 45 - 3 = 42
( 9 + 5 ) * 3 = 14 * 3 = 42
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