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Answer to Q56
There are 4 numbers w, x, y & z. w + x = 14, w + y = 15, x + z = 16 and y - z = 10. What is x and y?
w + x = 14
w + y = 15
x + z = 16
y - z = 10
y = 10 + z
w = 15 - y
Then,
w = 15 - (10 + z)
w = 15 - 10 - z
w = 5 - z
But,
w + x = 14
5 - z + x = 14
x = 14 - 5 + z
x = 9 + z
And,
x + z = 16
9 + z + z = 16
9 + 2z = 16
2z = 16 - 9
2z = 7
z = 7 ÷ 2 = 3.5
z = 3.5
x = 9 + z = 9 + 3.5
x = 12.5
w = 5 - z = 5 - 3.5
w = 1.5
y = 10 + z = 10 + 3.5
y = 13.5
So, w = 1.5, x = 12.5, y = 13.5 and z = 3.5
Answer: x = 12.5 and y = 13.5
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