In a 2-digit number, digit in units place is twice the digit in tens place. If 27 is added to it, digits are reversed find the numbers.
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Step-by-step explanation:
LET THE DIGIT AT TEN'S PLACE=x
LET THE DIGIT AT ONE'S PLACE=2x
ORIGINAL NUMBER= 10(x) +2x
=12x
WHEN DIGITS ARE REVERSED,
THE DIGIT AT TEN'S PLACE=2x
THE DIGIT AT ONE'S PLACE=x
ORIGINAL NUMBER=10(2x) +x
=21x
ACCORDING TO QUESTION:
12x+27 = 21x
27=21x-12x
27=9x
27/9=x
3=x
THEREFORE,
THE DIGIT AT TEN'S PLACE=x =3
THE DIGIT AT ONE'S PLACE=2x =2×3= 6
THEREFORE, NUMBER IS: 36 OR 63
(ANSWER)
HERE WE HAVE TAKEN AS ORIGINAL NUMBER MULTIPLIED WITH 10, BECAUSE FOR EXAMPLE LIKE WE HAVE TAKEN 50 , HERE, ZERO IS AT UNITS PLACE AND 5 IS AT TENS PLACE,THEN IT MEANS THAT 5 IS MULTIPLIED WITH 10 AND 0 IS ADDED TO IT..
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