SOLUTION: the ten's digit of atwo digit number is three times the unit digit . the sum of the number and the unit digit is 32.find the number.

Algebra.Com
Question 1036815: the ten's digit of atwo digit number is three times the unit digit . the sum of the number and the unit digit is 32.find the number.

Found 2 solutions by addingup, ikleyn:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Let the units digit be x
The tens digit will be 3x
x+3x = 32
4x = 32
x = 8

Answer by ikleyn(52802)   (Show Source): You can put this solution on YOUR website!
.
The ten's digit of a two digit number is three times the unit digit. The sum of the number and the unit digit is 32. Find the number.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let the units digit be x. 0 <= x <= 9.

Then tens digit will be 3x.
And the number itself will be 10*(3x)+x = 30x + x.

The fact that "the sum of the number and the unit digit is 32" means 

(30x + x) + x = 32,  or   32x = 32.

Hence, x = 1.  

And the number is 31.

Solved.


RELATED QUESTIONS

The sum of a three digit number is 14. The number is 14 larger than twenty times the tens (answered by stanbon)
The sum of a three digit number is 14. The number is 14 larger than twenty times the tens (answered by phillywily)
The product of a two two-digit number and its unit digit is 96. Find the two digit number (answered by josgarithmetic)
The digits of a three-digit number add up to 18. If the ten’s digit is twice the... (answered by mananth)
the sum of two-digit number is 12 and the unit digit is twice the tens digit find the... (answered by ptaylor)
the sum of the digit of a two digit number is 10 the result of subtracting twice the unit (answered by josgarithmetic)
Find a three digit number whose tens digit is 4 times the hundred’s digit and the unit’s... (answered by vleith)
Find a three digit number whose tens digit is 4 times the hundred’s digit and the unit’s... (answered by Fombitz)
The unit digit of a two-digit number is one less than three times the tens digit. The sum (answered by stanbon)