SOLUTION: one of the two digit of a two digit number is 3 times the other digit. if u inter change the digit of this two digit number and ass resulting number to original number you get 88 f
Algebra.Com
Question 645387: one of the two digit of a two digit number is 3 times the other digit. if u inter change the digit of this two digit number and ass resulting number to original number you get 88 find original number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
One of the two digits of a two digit number, is 3 times the other digit.
If u inter change the digit of this two digit number and add the resulting
number to original number, you get 88. Find original number
:
Write the two digit number as 10x + y
:
"One of the two digits of a two digit number, is 3 times the other digit."
x = 3y
:
If u inter change the digit of this two digit number, and add the resulting
number to original number, you get 88.
(10y + x) + (10x + y) = 88
Combine like terms
11y + 11x = 88
Simplify, divide by 11
y + x = 8
We know x = 3y, therefore
y + 3y = 8
4y = 8
y = 8/4
y = 2 is the units digit
then
x = 3(2)
x = 6 is the 10's digit
:
62 if the original number
:
:
We can confirm this: 62 + 26 = 88
RELATED QUESTIONS
The product of a two-digit number and its unit digit is 96. Find the two digit number if... (answered by josgarithmetic)
The unit digit of a two-digit number exceeds the tens digit by 2. Find the number if it... (answered by stanbon)
The sum of the digit of a two digit number is 9. the ten digit number is 3 more than... (answered by mananth)
The units digit of a two- digit number is one less than 3 times the tens digit. The sum... (answered by mananth)
a two digit number is such that the tens digit exceeds twice the unit digit by 2 and the... (answered by josmiceli)
the sume of a three-digit number is 11. The tens digit is three times the hundreds digit... (answered by josmiceli)
The tens digit of a two-digit number is 1 more the twice the units digit. The number is... (answered by Nate)
A two digit number the sum of its two digits is three times of its units digit and its... (answered by Theo)
The tens digit of a two-digit number is 2 less than twice the units digit. The number is... (answered by Nate,stanbon)