+118677
Answers with some logic added in:
1) 2, 5, 7, 9, 75, 100 The magic number is 557
557=500+55+2
= 500+75-20+2
= 500 +75 - 18
557= 5*100 +75 - 2*9
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2) 4, 7, 25, 50, 75, 100 The magic number is 750
750=100*7+50
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3) 4, 5, 7, 8, 25, 50 The magic number is 781
781 = 785 - 4
= 5 ( 157 ) - 4
= 5 ( 200 - 50 + 7 ) -4
781 = 5 ( 8*25 - 50 + 7 ) -4
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4) 2, 3, 5, 6, 7, 8 The magic number is 945
945 = 1000 - 55
945 = 103 - ( 6*8+7)
945 = (2*5)3 - ( 6*8+7)
OR
factor(945) = (3^3*5)*7 Used the calc to get prime factors
945 = 7 * 5 * 9 *3
945 = 7 * 3 * 45
if you used 7 and 3 like this then you have 2,5,6 and 8 to make 45.
45=48-3 = (6*8)-(5-2)
945 = 7 * 3 * [(6*8)-(5-2)]
OR
945 = 7 * (5-3) * [(6*8)-3]
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