the sum of a two digit number and the number formed by interchanging its digit is 110.if 10 is subtracted from the original number ,the new number is 4 more than 5 times the sun of original number .find the numbe
Answers
Answered by
2
let the original number be 10a+b
let the interchanged number be 10b+a
10a+b+10b+a=110
11(a+b)=110
therefore a+b=10
2nd statement
10a+b-10=4+5(a+b). {we know that sum of digits is a+b=10}
on substituting the value we get ,
10a+b-10=4+50
10a+b=54+10
10a+b=64.
therefore the original number is 64
let the interchanged number be 10b+a
10a+b+10b+a=110
11(a+b)=110
therefore a+b=10
2nd statement
10a+b-10=4+5(a+b). {we know that sum of digits is a+b=10}
on substituting the value we get ,
10a+b-10=4+50
10a+b=54+10
10a+b=64.
therefore the original number is 64
anuritha:
hope this answer helps you
Answered by
0
Hope it may help you!!!!!
Pls mark as brainlest!!!!!
Pls mark as brainlest!!!!!
Attachments:
Similar questions