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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

A number of two digits is such that the sum of the digits is 11, and the number is 27 greater that the number obtained by reversing the digits. Find the

The value of this number is: 10(T) + U. or 10T + U, and when reversed, we have: 10(U) + T, or 10U + T

Since the # formed by reversing the digits is 27 less than the original number, then we can say that:

10U + T = 10T + U – 27 --------> – 9T + 9U = -27

We now have the following simultaneous equations: T + U = 15 _____ (i) – 9T + 9U = - 27 _____ (ii) 9T + 9U = 135 _______ (iii) ----- Multiplying eq (i) by 9 18U = 108 _______ Adding eq (ii) and eq (iii)

U, or the units digit = , or

Substituting 6 for U in eq (i), we get: T + 6 = 15 ----- T, or the tens digit =

Now, since the tens digit is 9, and the units digit is 6, this makes the number: