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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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643 viewsedited  Sep 4, 2019 at 10:33

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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