Question

Peter thought of a number, added 7, multiplied by 3, took away 5 and divided by 4 to give an answer of 7. What was his starting number?

Answer 1

The starting number = 4

Step-by-step explanation:

$let \: x \: be \: the \: starting \: number : \\ =⟩ \: x + 7 \\ =⟩ \: 3 \times (x + 7) \\ \: =⟩ \: 3 \times (x + 7) - 5 \\ =⟩ \: \frac{ 3 \times (x + 7) - 5}{4} = 7 \\ =⟩ \: 3 \times (x + 7) - 5 = 28 \\ =⟩ \: 3 \times (x + 7) = 33 \\ =⟩ \: x + 7 = 11 \\ =⟩ \: x = 4$

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