Advertisements
Advertisements
प्रश्न
Solve: `"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6` Hence, find the value of 'a', if `1/"a" + 5"x" = 8`
उत्तर
`"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6`
`=> "2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 13/6`
`("8x" - "2x" + 2 + "21x" - 3 = 26)/12` ...(L.C.M. of 3, 6, 4, 6 = 12)
⇒ 27x - 1 = 26
⇒ 27x = 26 + 1
⇒ x = `27/27` = 1
Now, `1/"a" + 5"x" = 8`
`=> 1/"a" + 5 xx 1 = 8`
`=> 1/"a" + 5 = 8`
`=> 1/"a" = 8 - 5 = 3`
∵ 3a = 1
`=> "a" = 1/3`
∴ x = 1 and a = `1/3`
APPEARS IN
संबंधित प्रश्न
Solve the following equation:
20 = 6 + 2x
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
Separate 178 into two parts so that the first part is 8 less than twice the second part.
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
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.
The sum of two numbers is 405 and their ratio is 8 : 7. Find the numbers.
Solve the following inequalities
−13 ≤ 5x + 2 ≤ 32, x is an integer
