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September 20, 2016

Solving equations | Tomato objective 20

This is a beautiful problem based on Solving Equations from Test of Mathematics Subjective Problem no. 20.

Problem : Solving equations

If \(\ a,b,c,d\) satisfy the equations





then \(\ (a+d)(b+c)\) equals

\(\ (A)16 \quad (B)-16\quad (C)0 \quad\) (D)none of the foregoing numbers






\(\ (1)-(3)\), and \(\ (2)-(4)\), we get



\(\ (6)-(5)\), we get


\(\ (2)+(3)\),we get


\(\ (8)-(7)\),we get


\(\ (7)\times(9)\),we get


Thus,\(\ (B)\) is the correct option.

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