MATH SOLVE

8 months ago

Q:
# In a two-digit number the units digit is three less than the tens digit. If the digits are reversed, the sum of the reversed number and the original number is 121. Find the original number.

Accepted Solution

A:

Answer:74.Step-by-step explanation:Let the number be xy.Then from the given datax = y + 3..........(1)The numerical value of xy is 10x + y so the second equation is10x + y + 10y + x = 12111x + 11y = 121 Simplifying:x + y = 11x = -y + 11 .........(2) Adding equations (1) and (2):2x = 14x = 7and therefore y = 7 - 3 = 4.