SOLUTION: a number consists of two digits the digits in the ten's place is 3 times the digit in the unit place if 54 is subtracted from the number the digits are reversed . The number is
Algebra.Com
Question 511387: a number consists of two digits the digits in the ten's place is 3 times the digit in the unit place if 54 is subtracted from the number the digits are reversed . The number is
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a number consists of two digits the digits in the ten's place is 3 times the digit in the unit place if 54 is subtracted from the number the digits are reversed.
The number is
:
Let the two digit number = 10x + y
:
"the ten's place is 3 times the digit in the unit place"
x = 3y
:
"if 54 is subtracted from the number the digits are reversed."
10x + y - 54 = 10y + x
10x - x = 10y - y + 54
9x = 9y + 54
simplify, divide by 9
x = y + 6
Replace x with 3y
3y = y + 6
3y - y = 6
2y = 6
y = 3
then
x = 3(3)
x = 9
:
93 is the number
:
:
Check solution in the statement:
"if 54 is subtracted from the number the digits are reversed."
93 - 54 = 39
RELATED QUESTIONS
a number consists of two digits. The digits in the tenth place is 3 times the digit at... (answered by ankor@dixie-net.com)
For a two digit numbers its digit in the ten’s place is twice the digit in the unit’s... (answered by ankor@dixie-net.com)
A number consists of two digits, the digits in the ten’s place exceeds that in the... (answered by ankor@dixie-net.com)
A number consists of two-digits. The digit at the units place is 3 times the digit at the (answered by JulietG)
A number consists of two digits. The digit in the unit's place is less than the digit in... (answered by ankor@dixie-net.com)
A two digit number is six times the sum of its digits. If the digit in the units’
place (answered by stanbon)
The difference between a two-digit number and the number obtained by interchanging its... (answered by ankor@dixie-net.com)
please help me determine the unknown 5-digit number
a. all of the digits are different.
(answered by MathTherapy,ramkikk66)
in a positive number of two digits, the tens place exceeds the unit digit by 5. if the... (answered by sachi)