The first term of an A.P. is -5 and the common difference is 2, then the sum of the first 6 terms is
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Nth term of an ap is 116 whose first term is 2 and common difference is 6 find the sum of all terms - 11519702. ... If (4, 19) is a solution of the equation yax + 3, then a = · Divide a line segment 7 cm ...
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Let x be the unit digit of the number.
Then, the ten's digit = 11−x
Therefore, Number = 10(11−x)+x=110−10x+x=110−9x
When digits are interchanged ,
unit digit=11−x and tens digit =x
So, number obtained by interchanging the digits= 10x+(11−x)=9x+11
As per the question-
9x+11−(110−9x)=9
⇒9x+11−110+9x=9
⇒18x+11−110=9
⇒18x=9−11+110
⇒18x=108
⇒x=6
Hence, unit's digit = 6 and ten's digit = 11−6=5.
Therefore, the required number is 56.
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