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a, b,c satisfy

 

a + b = 3

ac + b = 18

bc + a = 6

 

Find c.

 Jun 15, 2020
 #1
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From ac + b = 18, we can see that 

a(c - 1) + (a + b) = 18

a(c - 1) + 3 = 18

a(c - 1) = 15 --- (1)

 

Similarly,

bc + a = 6

b(c - 1) + (a + b) = 6

b(c - 1) = 3 --- (2)

 

Adding (1) and (2) would give the required value.

 

Ans: c = 7

 Jun 15, 2020

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