Amrita thinks of a number. She doubles it, adds 9, divides her answer by 3 and finally subtracts 1. She obtains the same number she originally thought of. What was Amrita's number?

Question

Mathematics

Kai Meyer

14 April, 02:05

Amrita thinks of a number. She doubles it, adds 9, divides her answer by 3 and finally subtracts 1. She obtains the same number she originally thought of. What was Amrita's number?

+3

Answers (1)

Know the Answer?

Zaria Wright · Answer 1

Amrita's number is 6

Step-by-step explanation:

x Double the unknown number

2x Add 9

2x + 9 Divide the answer by 3

2/3x + 3 Subtract 1

2/3x + 2 Set this equal to the original number

2/3x + 2 = x

-2/3x - 2/3x Subtract 2/3x from both sides

2 = 1/3x Multiply both sides by 3

6 = x