Advertisements
Advertisements
प्रश्न
Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`
Advertisements
उत्तर
`("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1` ...(L.C.M. of 3 and 5 = 15)
`=> (5("x" + 2) - 3("x" + 1))/15 = ("x" - 3 - 4)/4`
`=> (5"x" + 10 - 3"x" - 3)/15 = ("x" - 7)/4`
`=> (2"x" + 7)/15 = ("x" - 7)/4`
⇒ 4(2x + 7) = 15(x - 7)
⇒ 8x + 28 = 15x - 105
⇒ 8x - 15x = -105 - 28
⇒ -7x = - 133
x = `(-133)/(-7)`
∴ x = 19
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
`("x" - 1)/("7x" - 14) = ("x" - 3)/("7x" - 26)`
A’s salary is same as 4 times B’s salary. If together they earn Rs.3,750 a month, find the salary of each.
The sum of three consecutive odd numbers is 57. Find the numbers.
A man’s age is three times that of his son, and in twelve years he will be twice as old as his son would be. What are their present ages.
Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
The numerator of a fraction is 5 less than its denominator. If 3 is added to the numerator, and denominator both, the fraction becomes`4/5`. Find the original fraction.
Solve the following inequation
x – 6 < 1, where x is a natural number
Solve the following inequation
6x – 7 ≥ 35, where x is an integer
The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?
