188k views
2 votes
Sarah, Amy and Liam stand on some weighing scales two at a time.

Here are the measurements:
Sarah and Amy
Sarah and Liam
Liam and Amy
70kg
80kg
80kg
How much does Liam weigh?

show working please :)

User Damianb
by
8.4k points

1 Answer

5 votes
So here is how to solve the problem.
Let us analyze it first.
S + A = 70
S + L = 80
L + A = 80
Since S + L is equal to L + A, this would mean that S = A.
So S + A = 70 So A = 70/2 = 35kg
And lastly L. L= 80 -35 = 45kgs.
Therefore, Liam's weight is 45kgs.
Hope this explanation helps.
Let me know if you need more help next time. Have a great day!
User Volodymyr Krupach
by
8.5k points