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3 years ago

I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, my

Mathematics

1 answer:

malfutka [58]3 years ago

3 0

Answer:

Step-by-step explanation:

Let the 3-digit number is abc = 100a + 10b + c.

We have:

100a + 10b + c - 100c - 10b - a = 297
b = a - 6
a = 2c - 2

Simplify the first equation:

99a - 99c = 297
a - c = 3
a = c + 3

Solve for c by substitution:

2c - 2 = c + 3
2c - c = 3 + 2
c = 5

Find a:

a = 3 + 5 = 8

Find b:

b = 8 - 2 = 6

The number is:

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