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The sum of the digit of …

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The sum of the digit of a two digit number and the number formed by interchanging it's digit is 110. If 10 is subtracted from the first number the new number is 4 more than 5 times the sum of the digits in the first number. The first number is ?

Posted by Vidya Shankar Tiwari 5 years, 9 months ago

CBSE > Class 08 > Mathematics

1 answers

Divyanshi Yadav 5 years, 9 months ago

Let unit digit be x and tens digit be y number =10y+x according to question :- (10y+x)+(10x+y)=110 11x+11y =110 (x+y)=10 :-(1) x+y = 10 y=(10-x ):-(2) 10y+x-10= 5(x+y)+4 10y+x-10=5x+5y+4 -5y+4x=-14 :-(3) putting value of equation no.2 in equation no.3 :- -5(10 - x)+4x =-14 -50+5x+4x =-14 9x -50=-14 9x=-14+50 9x=36 x=4 y =10-x y=10-4 y=6 number = 10y+x no.=10×6+4 no.= 60+4 no.=64 [Answer ]

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