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Natali [406]
3 years ago
10

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.
Mathematics
1 answer:
liq [111]3 years ago
5 0

Answer:

<u>The original three-digit number is 417</u>

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

<u>The original three-digit number is 417</u>

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