Question

К двузначному числу приписали цифру 5 сначала слева а потом справа получили два трехзначных числа разность которых равна 234 найдите двузначное число(Если можно то без применения икса)

Answer 1

Пусть искомое число 10х+у
тогда если приписать 5 слева то получим 500+10х+у
если приписать справа то получим 100х+10у+5
тогда их разница равна:
500+10х+у-100х-10у-5=234
500-90х-9у-5=234
90х+9у=261
9(10х+у)=29*9
10х+у=29

искомое число 29

Answer 2

Problem Analysis

We are given a two-digit number to which the digit 5 is added first on the left and then on the right. This results in two three-digit numbers, and the difference between these two numbers is 234. We need to find the original two-digit number.

Solution

Let's assume the original two-digit number is represented by AB, where A is the tens digit and B is the units digit.

When we add 5 to the left of AB, the resulting three-digit number is 5AB. Similarly, when we add 5 to the right of AB, the resulting three-digit number is AB5.

The difference between these two three-digit numbers is given as 234. Therefore, we can write the equation:

AB5 - 5AB = 234

To solve this equation, we can expand the numbers and simplify:

(100A + 10B + 5) - (100A + 10B) = 234

Simplifying further:

100A + 10B + 5 - 100A - 10B = 234

The terms with A and B cancel out, leaving us with:

5 = 234

This equation is not possible to solve, as it is contradictory. Therefore, there is no two-digit number that satisfies the given conditions.

Conclusion

There is no two-digit number that, when the digit 5 is added first on the left and then on the right, results in two three-digit numbers with a difference of 234.