In a mathematics test, shane scored 17 marks more than tom while sophie 's score is twice of tom 's score. if their total is 161 , what is shane ' s score?
( linear equations)

Let Tom = x

Then Shane is x +17 ( 17 more than Tom)

Sophie  = 2x ( twice Tom's score)

Now you have:

X  +(x+17) + 2x = 161

Simplify:

4x +17 = 161

Subtract 17 from both sides:

4x = 144

Divide both sides by 4:

x = 144 / 4

x = 36

Shane = x +17 = 36 +17 = 53

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