The numerator of a fraction is 3 less than denominator. If 2 is added to both 29 numerator as well as denominator, then sum of the new and original fraction is . Find the fraction.
Let the denominator be ‘(X+3)’, so the numerator will be ‘X’.
the original fraction is
the new fraction is
On simplifying further,
15(2X2 + 10X + 6) = 19(X2 + 8X + 15)
30X2 + 150X + 90 = 19X2 + 152X + 285
11X2 – 2X – 195 = 0 –––––– (i)
On applying Sreedhracharya formula
∴ it does not have real values.
Rate this question :
The sum of two numbers is 18 and the sum of their reciprocals is . Find the numbers.KC Sinha - Mathematics
Divide 12 into two parts such that their product is 32.KC Sinha - Mathematics
The sum of the squares of three consecutive positive integers is 50. Find the integers.KC Sinha - Mathematics
The difference of two numbers is 4. If the difference of their reciprocals is , find the two numbers.KC Sinha - Mathematics
The difference of squares of two natural numbers is 45. The square of the smaller number is four times the larger number. Find the numbers.KC Sinha - Mathematics
The sum of a number and its reciprocal is . Find the number.KC Sinha - Mathematics
The difference of two numbers is 5 and the difference of their reciprocals is Find the numbers.KC Sinha - Mathematics
Divide 12 into two parts such that the sum of their squares is 74.KC Sinha - Mathematics
Two numbers differ by 3 and their product is 504. Find the numbers.KC Sinha - Mathematics