the sum of 2digit and Of the no. formed by reversing the digit is 110 and the difference of the digit is 6 find the no.
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gurjeetsingh2
gurjeetsingh2
04.02.2018
Math
Secondary School
+5 pts
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the sum of a number of 2 digit and the number formed by reversing the digit is 110 and the difference of digit is 6 .find the number
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SanyamTaneja
SanyamTaneja Virtuoso
Let once place digit=a tens=b
hence, no.=10b+a
reverse of no.=10a+b
diff of digits=a-b=6. or a=6+b
A.T.Q
10b+a+10a+b=110
11(a+b)=110
a+b=10
6+b+b=10
2b=4
b=2
a=6+2=8
hence no. is 28
and if b=6+1
no.=82
Ans.=82,28
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gurjeetsingh2
thanks
SanyamTaneja
welcome veere and if u liked please brainliest it
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thakur243
thakur243 Expert
.......
let the two digit be A and B
1*B+10*A+1*A+10*B=110A-B=6----2
A=6+B
B+10A+A+10B=110
11A +11B=110
A+B=10
A+B=10
6+B+B=10
6+2B=10
B=2
A+B=10
A=8
Original no. is 82
The no. formed by reversing the digits is 28
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