Find three whole numbers a, b and c such that a+b+c =a \timesb \timesc, then what is the value of a^2+b^2+c^2 ?

Sainik School Entrance Exam 2018 Solved Paper

Question : 46 of 150

Marks: +1, -0

Find three whole numbers

a, b

and

c

such that

a+b+c

=a ×b ×c

, then what is the value of

a^2+b^2+c^2 ?

Solution:

(a) } ∵

a+b+c=a ×b ×c

1+2+3=1 ×2 ×3

∵

a^2+b^2+c^2=(1)^2+(2)^2+(3)^2

1+4+9=14

.
So, the value of

a^2+b^2+c^2=14

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