Q. The sum of the numerator and the denominator of a fraction is 10. If the numerator is multiplied by 3 and the denominator by 1/2, the fraction becomes 2/3. Find the fraction.?

Q. A number consists of two digits. The digit at ten's place is 4 times the digit at unit's place. On changing the place of digits , the new number formed is 54 less than the original number. Find the number?

• I) 1/9
  If Fraction= x/y,
  Given x+y=10 ---(i) & (3*x)/(y/2)=2/3, y=9x ---(ii)
  On solving (i) & (ii), x=1, y=9
  
  
  
  II)82
  If original number=10x+y
  Given, x=4y ---(i) & 10x+y-54=10y+x, x-y=6 ---(ii)
  On solving (i) & (ii),x=8, y=2
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