Solve the following word problems and show your complete solution. 1. The sum of the two-digit number is 9. The tens digit is three less than three times the units digit. What is the number? 2. The sum of the two-digit number is 8. The unit digit is four less than five times the tens digit. Find the number. 3. The sum of the digits of a two-digit number is 16. If the digits were reversed; the resulting number is 8 less than the original. What is the number? 4. The sum of the digits of a two-digit number is 8. If the digits are reversed, the new number is 18 more than the original number. What is the number?
Added by Alfonso H.
Step 1
Let the tens digit be x and the units digit be y. We are given that x + y = 9 and x = 3y - 3. We can solve this system of equations to find the number. x + y = 9 x = 3y - 3 Substitute the second equation into the first equation: (3y - 3) + y = 9 4y - 3 = 9 4y = Show more…
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