batmannn1516
14.02.2020 •
Mathematics
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.
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Ответ:
The original three-digit number is 417
Step-by-step 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
Ответ: