Question

The sum of two like fractions is 11/20 and their differences is 3/20. Find the fractions.

Answer 1

Answer:

let , x/20 and y/20 bet two likes fractions

then according to question

• (x/20)+(y/20)=11/20
• and
• (x/20)-(y/20)=3/30
• now adding these two linear equation we get,
• 2(x/20)=(11/20)+(3/20)
• 2x/20=14/20
• x=7
• now substitute x=7 in equation 1st we get,
• (7/20)+(y/20)=11/20
• y/20=11/20-7/20
• y/20=4/20
• y=4
• therefore the fractions are 7/20, 4/20.