Advertisements
Advertisements
Question
Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
Advertisements
Solution
`(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`
`=> (2(3"x" - 2) + 3("2x" + 3))/6 = "x" + 7/6`
`=> ("6x" - 4 + "6x" + 9)/6 = ("6x" + 7)/6`
`=> ("12x" + 5)/6 = ("6x" + 7)/6`
⇒ 6(12x + 5) = 6(6x + 7)
⇒ 72x + 30 = 36x - 42
⇒ 72x - 36x = 42 - 30
⇒ 36x = 12
x = `12/36`
∴ x = `1/3`
APPEARS IN
RELATED QUESTIONS
Solve: 0.25 + `1.95/"x" = 0.9`
Five less than 3 times a number is -20. Find the number.
Six more than one-fourth of a number is two-fifth of the number. Find the number.
If the same number be added to the numbers 5, 11, 15 and 31, the resulting numbers are in proportion. Find the number.
Solve: `(2"x")/3 - (3"x")/8 = 7/12`
Solve:
13(x − 4) - 3(x − 9) − 5(x + 4) = 0
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
After 12 years, I shall be 3 times as old as 1 was 4 years ago. Find my present age.
A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article
The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.
