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Answer to Q178:

I am a three-digit number xyz.

y = 4z
x = y-3

What is xyz?

y = 4z (eqn i)

For eqn i to be valid, that means z be only be 0, 1 or 2.
that is because at 3, y becomes 12 (which is not a single digit)

At 0:
z = 0
y = 4 x 0
y = 0
so, z can also not be 0 because y should be 4x larger than z

At 1:
z = 1
y = 4 x 1
y = 4
and x = y - 3
x = 4 - 3
x = 1

xyz = 141

At 2:
z = 2
y = 4 x 2
y = 8
and x = y - 3
x = 8 - 3
x = 5

xyz = 583

Answer 141 or 583

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708 viewsJul 28, 2022 at 11:42

Answer to Q178:

I am a three-digit number xyz.

y = 4z
x = y-3

What is xyz?

y = 4z (eqn i)

For eqn i to be valid, that means z be only be 0, 1 or 2.
that is because at 3, y becomes 12 (which is not a single digit)

At 0:
z = 0
y = 4 x 0
y = 0
so, z can also not be 0 because y should be 4x larger than z

At 1:
z = 1
y = 4 x 1
y = 4
and x = y - 3
x = 4 - 3
x = 1

xyz = 141

At 2:
z = 2
y = 4 x 2
y = 8
and x = y - 3
x = 8 - 3
x = 5

xyz = 583

Answer 141 or 583

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