Advertisements
Advertisements
प्रश्न
If 2 is added to the numerator and denominator it becomes `(9)/(10)` and if 3 is subtracted from the numerator and denominator it becomes `(4)/(5) `Find the fraction.
Advertisements
उत्तर
Let the fraction be `x/y`.
According to given information, we have
`(x + 2)/(y + 2) = (9)/(10)`
and
`(x - 3)/(y - 3) = (4)/(5)`
⇒ 10x + 20
= 9y + 18
and
5x - 15
= 4y - 12
⇒ 10x - 9y = -2 .....(i)
and
5x - 4y = 3 ....(ii)
Multiplying eqn. (ii) by 2, we get
10x - 8y = 6 ....(iii)
Subtracting eqn. (iii) from eqn. (i), we get
-y = -8
⇒ y = 8
⇒ 10x = -(9) = 6
⇒ 10x - 64 = 6
⇒ 10x = 70
⇒ x = 7
∴ Required fraction = `(7)/(8)`.
APPEARS IN
संबंधित प्रश्न
Solve for x and y :
`[ y + 7 ]/5 = [ 2y - x ]/4 + 3x - 5`
`[ 7 - 5x ]/2 + [ 3 - 4y ]/6 = 5y - 18`
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Solve the following simultaneous equations :
2(3u - v) = 5uv
2(u + 3v) = 5uv
Solve the following simultaneous equations:
13a - 11b = 70
11a - 13b = 74
Solve the following pairs of equations:
`(2)/(x + 1) - (1)/(y - 1) = (1)/(2)`
`(1)/(x + 1) + (2)/(y - 1) = (5)/(2)`
Solve the following pairs of equations:
`(2)/(3x + 2y) + (3)/(3x - 2y) = (17)/(5)`
`(5)/(3x + 2y) + (1)/(3x - 2y)` = 2
Seven more than a 2-digit number is equal to two less than the number obtained by reversing the digits. The sum of the digits is 5. Find the number.
If 1 is added to the denominator of a fraction, the fraction becomes `(1)/(2)`. If 1 is added to the numerator of the fraction, the fraction becomes 1. Find the fraction.
Sunil and Kafeel both have some oranges. If Sunil gives 2 oranges to Kafeel, then Kafeel will have thrice as many as Sunil. And if Kafeel gives 2 oranges to Sunil, then they will have the same numbers of oranges. How many oranges does each have?
Two mobiles S1 and S2 are sold for Rs. 10,490 making 4% profit on S1 and 6% on S2. If the two mobiles are sold for Rs.10,510, a profit of 6% is made on S1 and 4% on S2. Find the cost price of both the mobiles.
