SOLUTION: the value of a 2 digit number is more than 3 times the sum of its digits. The units digit is 1 more than twice the tens digit. find the 2 digit number.

Question 230669: the value of a 2 digit number is more than 3 times the sum of its digits. The units digit is 1 more than twice the tens digit. find the 2 digit number.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I had to add some missing information here, hopefully it's correct
:
let 10x + y = the two digit number
:
Write an equation for each statement:
:
"the value of a 2 digit number is 1 more than 3 times the sum of its digits."
10x + y = 3(x + y) + 1
10x + y = 3x + 3y + 1
10x - 3x = 3y - y + 1
7x = 2y + 1
:
"The units digit is 1 more than twice the tens digit."
y = 2x + 1
:
find the 2 digit number.
Substitute (2x+1) for y
7x = 2(2x+1) + 1
7x = 4x + 2 + 1
7x - 4x = 3
3x = 3
x = 1
then
y = 2(1) + 1
y = 3
:
13 is the number
;
:
See if that's true in the statement:
"the value of a 2 digit number is 1 more than 3 times the sum of its digits."
13 = 3(1 + 3) + 1
13 = 3(4) + 1

RELATED QUESTIONS
A certain two-digit number has a value that is 2 more than 6 times the sum of its digits. (answered by mananth,ankor@dixie-net.com)

a certain two digit number has a value that is 2 more than 6 times the sum of its digits. (answered by ankor@dixie-net.com)

find the two-digit number whose units' digit is 5 more than its tens' digit and whose... (answered by Gogonati)

a two digit number is 6 times the sum of its digits. the tens digit is 1 more than the... (answered by xcentaur)

The units' digit of a two-digit numeral is 5 more than the tens' digit. The number is 3... (answered by Nate)

5) The units digit exceeds the tens digit by 6. The number is 10 more than 9 times the... (answered by solver91311)

The tens digit of a two-digit number exceeds twice its units digit by 1. If the digits... (answered by josgarithmetic)

The tens digit of a two-digit number exceeds twice its units digit by 1. If the digits... (answered by vleith)

a three digit number is 28 times the sum of its digits. the units digit is twice the... (answered by ptaylor)