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9Ans. (A)The sum of the digits of a two-digit number is 8. The numer obtained by interchanging thetwo digits exceeds the given number by 36. The number will :(A) 62(B) 26(C) 35(D) 53how |
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Answer» Answer: Step-by-step explanation: Sum of the digits = 8 Let the number in one's place be X number in tens place = (8-x) original number = 10(8-x)+ X = 80-9x The numer OBTAINED by interchanging the two digits exceeds the GIVEN number by 36. new number= 10×x + ( 8-x)= 9x+8 ATQ, NEW NUMBER - ORIGINAL NUMBER = 36
=> ( 9X+8) - (80-9x) = 36 => 9x+8 -80+9x = 36 => 18X - 72 = 36 => 18x = 36+72 => X= 108/18 => X= 6 ones place= 6 ; tens place = 8-6 = 2 thus, the no. is 26 |
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