# KVPY #15

Algebra Level 3

$(2+6+10+14+\cdots+ 2a)+( 2+6+10+\cdots+2b)= ( 2+6+10+\cdots+2c)$

Given the equation above, where $$a+b+c =21$$ and $$a >6$$, find the value of $$a-b$$.

• For more KVPY practice questions try my set 1
• For hard JEE problems try my set 2
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