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What is the sum of two numbers $x$ and $y$ ? Statement I: $x$ is 4 more than $y$ . Statement II: $x$ equals 12.

Competition practiceData Sufficiency

AStatement II alone is sufficient but Statement I alone is not
BStatement I alone is sufficient but Statement II alone is not
CBoth statements together are needed (neither alone is sufficient)
DEither statement alone is sufficient

Step-by-Step Solution

I gives only

x = y + 4

and II gives only

x = 12

. Together,

y = 8

, so

x + y = 20

.

Answer: C) Both statements together are needed (neither alone is sufficient)

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