Math
posted by Rita
The sum of the digits of a twodigit number is 14. The number formed by reversing the digits is 36 more than the original number. What is the original number?

Ms. Sue
95
86
77
Which of those numbers meet the other criterion? 
Anonymous
let the 10 digit number be x
let the one digit number be y
x + y = 14 , y= 14  x
original number 10x + y
reversed number 10y + x
equation 10y +x = 10x +y +36
subsitute for y
10(14x) + x = 10x +14  x + 36
140  10x + x = 10x +14  x + 36
x = 5 y = 14  x
y = 14  5 = 9
original number is 10x + y
10(5) + 9 = 59 
ngan
let the 10 digit number be x
let the one digit number be y
x + y = 14 , y= 14  x
original number 10x + y
reversed number 10y + x
equation 10y +x = 10x +y +36
subsitute for y
10(14x) + x = 10x +14  x + 36
140  10x + x = 10x +14  x + 36
x = 5 y = 14  x
y = 14  5 = 9
original number is 10x + y
10(5) + 9 = 59
Respond to this Question
Similar Questions

math ALGEBRA
When the digits of twodigits numbers are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number. Can some one please help me here? 
8th Grade Algebra
These are extra credit questions, and I just want to know how to solve them. 1) The sum of twodigits of a two digit number is 14. If the number represented by reversing the digits is subtracted from the original number, the result … 
Algebra 1
Hello, can someone check my answer the the question below? 
Algebra 2
The sum of the digits of a twodigit number is 9. If the digits are reversed, the new number is 27 more than the original number. Find the original number. I hate silly word problems like this, please help me out. 
Maths
The digits of a three digit number are in AP&their sum is 15.The number obtained by reversing the digits is 594 less than the original number.Find the number? 
Math  Algebra
What is the linear equation that will represent the second statement in the following problem: "The sum of the digits of a threedigit number is 12. If the hundreds digit is replaced by the tens digit, the tens digit by the units digit, … 
MATH
The sum of the digits of a two number is 6. The number with the digits interchanged is 3 times the tens digit of the original number. Find the original number. 
Math
John chooses a 5digit positive integer and deletes one of its digits to make a 4digit number. The sum of this 4digit number and the original 5digit number is 52713. What is the sum of the digits of the original 5digit number? 
Math
The sum of digits of a threedigit number is 14, and the ten's digit of the number is one more than the unit's digit. If the digits were reversed in order, the new number is 198 more than the original. What is the original number? 
Algebra
The sum of the digits of a twodigit number is 13. If the digits are reversed, the new number is 9 more than the original number. Find the original number