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
If Megha’s age is increased by three times her age, the result is 60 years. Find her age
Fifteen more than 3 times Neetu’s age is the same as 4 times her age. How old is she ?
Separate 178 into two parts so that the first part is 8 less than twice the second part.
Two consecutive natural numbers are such that one-fourth of the smaller exceeds one-fifth of the greater by 1. Find the numbers.
The present age of a man is twice that of his son. Eight years hence, their ages will be in the ratio 7 : 4. Find their present ages
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
The sum of two numbers is 4500. If 10% of one number is 12.5% of the other, find the numbers.
Given that x ≥ y. Fill in the blank with suitable inequality sign
– xy `square` – y2
