# Grade 8 - Algebra #3

Algebra Level 3

Three non-zero real numbers $$a,~b,~c$$ satisfy below three equations.

• $$ab=2(a+b),$$

• $$bc=3(b+c),$$

• $$ca=4(c+a).$$

Find the value of $$10a+7b+3c$$.

This problem is a part of <Grade 8 - Algebra> series.

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