Equations, SM-Bank 034

Two consecutive integers have a sum of 25.

Given the first number is \(x\), write an algebraic equation to represent this information. (2 marks)

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Solve your equation algebraically to find the two numbers. (2 marks)

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a. \(2x+1=25\)

a. \(12 , 13\)

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a. \(\text{Given the 1st number is}\ x\text{, the 2nd number is }x+1.\)

\(\therefore\ \text{Equation is:}\)

\(x+(x+1)\)	\(=25\)
\(2x+1\)	\(=25\)

\(\therefore\ \text{Numbers are }12\ \text{and }13.\)