the digit at the tens place is 5 less than twice the digit at unit place. The sum of the original number and the number obtained by interchanging the digits is 176 find two digit the numbers
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176
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Hello My Dear Friend
let the unit digit be x
∴the tens digit is 2x-5
∴the nos is 10*[2x-5] +x =20x-50+x =[21x -50] ..............................[1]
⇒now by interchanging the digits we get
⇒tens digit is x and unit digit is [2x-5]
∴the new nos becomes 10*x+[2x-5] =10x+[2x-5] =[10x +2x-5] =[12x -52].......[2]
ATP
⇒[21x -50]+[12x -5] =176
⇒21x+12x -50 -5 =176
⇒33x-55 =176
⇒33x=176+55
⇒33x=231
⇒x=231/33 =7 ==========units place nos
∴the tens digit is 2x-5 =2*7-5 = 14-5 =9
∴the nos is 97 ans
proof 97 +79 =176
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