SOLUTION: The sum of digits of a 2 digit number is 10.The digits of the number interchange their places, when 36 is substracted from the number.Find the two digit number
Algebra.Com
Question 762855: The sum of digits of a 2 digit number is 10.The digits of the number interchange their places, when 36 is substracted from the number.Find the two digit number
Answer by sachi(548) (Show Source): You can put this solution on YOUR website!
The sum of digits of a 2 digit number is 10.
let the ones digit=x then tenth digit=10-x
the no is 10[10-x]+x
when the digits interchange their position the no will be 10x+[10-x]
The digits of the number interchange their places, when 36 is subtracted from the number.
so 10x+[10-x]=10[10-x]+x-36
or 10x+10-x=100-10x+x-36
or 18x=54
or x=3
so the two digit number=10[10-x]+x=10[10-3]+3=73
RELATED QUESTIONS
The sum of the digits of a two digit number is 10.if 36 is subtracted from the number the (answered by stanbon)
The product of digits of a two digit number is 12.when 9 is added to the number, the... (answered by Edwin McCravy)
A two-digit number is such that the product of its digits is 12.When 36 is added to this... (answered by longjonsilver)
Sum of the digits of a two digit number is 10 when we interchange the digits it is found... (answered by ikleyn)
The sum of the digits of a two digit number is 12 .if the digits are interchange the... (answered by Alan3354)
the sum of the digits of a two digit number is 8. if 8 is subtracted from the number the... (answered by ankor@dixie-net.com)
The sum of digits of a two digit number is 9.If 27 is subtracted from the number,then the (answered by Alan3354)
A 2 digit no is such that the product of its digits is 35. If 18 is added to the Number,... (answered by flame8855)
sum of the digits of a two digits number is 9.when we interchange the digits, it is found (answered by KMST)