Advertisements
Advertisements
Question
Solve: `"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6` Hence, find the value of 'a', if `1/"a" + 5"x" = 8`
Advertisements
Solution
`"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
RELATED QUESTIONS
Solve the following equation:
`1/("x" - 1) - 1/"x" = 1/("x" + 3) - 1/("x" + 4)`
28 is 12 less than 4 times a number. Find the number.
Separate 178 into two parts so that the first part is 8 less than twice the second part.
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.
A man is 42 years old and his son is 12 years old. In how many years will the age of the son be half the age of the man at that time?
Solve: `"x" + 7 - "8x"/3 = "17x"/6 - "5x"/8`
Solve: `(3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"`
Solve:
`(x + 2)/6 - ((11 - x)/3 - 1/4) = (3x - 4)/12`
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.
Given that x ≥ y. Fill in the blank with suitable inequality sign
– xy `square` – y2
