Luke's collection has 27 postcards in it than brian's collection. Put togteher, their collections have 135 postcards how many postcards does luke have how many postcards does brian have

I. Luke has 81 postcards.

II. Brian has 54 postcards.

Explanation:

Let Luke's collection be L

Let Brian's collection be B

Translating the word problem into an algebraic equation, we have;

L = 27 + B

L + B = 135

Substituting equation 1 into equation 2, we have;

27 + B + B = 135

27 + 2B = 135

2B = 135 - 27

2B = 108

B = 108/2

B = 54

Therefore, Brian has 54 postcards.

To find the value of L;

L = 27 + B

L = 27 + 54

L = 81

Therefore, Luke has 81 postcards

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