Unit 7 · Finding Procedures

Work Backwards — What Are the Digits?

Lesson 4 of 5

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About this lesson

Hayden follows 3 instructions — choose a number, add 4, multiply by 2 — and ends up with 40. What is the digit sum of his starting number? The trick: you never need to guess! Work backwards step by step, undoing each operation in reverse.

Chapters

0:00Introduction
0:23The Question
0:59Mapping the Forward Operational Flow
1:23Executing the Inverse Operations
1:56Answering the Final Question
2:19Exam Strategy — The Premature Finish Trap
3:09Confirming the Final Option

Question

Hayden follows these instructions:

  • Choose a starting number.
  • Add 4 to your number.
  • Multiply by 2.

He gets the answer 40.

What do you get if you add together the digits in his starting number?

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