How to complete this question?

if a, b, c are three positive integers such that a.b.c +ab+bc+ac +a+b+b =1000, then (a+b+c) equals:

a)28 b)43 c)36 d)42

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

This is a problem proposed by Vishnoo P. several weeks back.

You may view the problem by clicking on this link. If you received the problem then, you will be directed to the solution presented by Rahul N..

Calvin Lin Staff - 7 years, 12 months ago

I think you've made a typo while writing the question. Hint: Add something to both sides.

Vinit Mankar - 7 years, 12 months ago

Shourya Pandey - 7 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$