Sum of a two digit number is 6 when we interchange the digits the resultant is less than the number by 18 find the number
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Step-by-step explanation:
Then according to question
X+Y=6
Y=6-X……………….1
And
10X+Y+18=10Y+X
9X-9Y+18=0
Divide whole equation by 9 we get
X-Y+2=0…………..2
By putting value of X from Equation 1 in equation 2 we get
X-(6-X)+2=0
So
X-6+X+2 =0
2X-4=0
2X=4
X=2
Hence
Y=6–2=4
Now
10X+Y=2*10+4=24
Hence two digit no. is 24
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