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A three-digit number ends in number 7. If you put the number 7 in the first position, the number will increase by 324. Find the original three-digit number.

User Matoe
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1 Answer

2 votes

Answer:

The original three-digit number is 417

Explanation:

Let's find out the solution to this problem, this way:

x = the two digits that are not 7

Original number = 10x+7

The value of the shifted number = 700 + x

Difference between the shifted number and the original number = 324

Therefore, we have:

324 = (700 + x) - (10x + 7)

324 = 700 + x - 10x - 7

9x = 693 - 324 (Like terms)

9x = 369

x = 369/9

x = 41

The original three-digit number is 417

User EvanBlack
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