Equations, SM-Bank 035

Two consecutive integers have a sum of 147.

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. \(2x+1=147\)

b. \(73 , 74\)

Show Worked Solution

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

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

\(x+(x+1)\)	\(=147\)
\(2x+1\)	\(=147\)

\(\therefore\ \text{Numbers are }73\ \text{and }74.\)