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a = Larger number

b = Smaller number

a - 17 = 7b ... (1)

a - 132 = 2b ... (2)

Rearrange (2)

a = 2b + 132 (3)

Substitute (3) into (1)

2b + 132 - 17 = 7b

(Take 2b from both sides)

132 - 17 = 5b

5b = 115

b = 23

Substitute b = 23 into (2)

a - 132 = 2 x 23

a - 132 = 46

a = 46 + 132

a = 178

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