Advertisements
Advertisements
Question
Solve the following:
`(3t + 5)/4 - 1 = (4t - 3)/5`
Advertisements
Solution
Given, `(3t + 5)/4 - 1 = (4t - 3)/5`
⇒ `(3t + 5 - 4)/4 = (4t - 3)/5`
⇒ 5(3t + 5 – 4) = 4(4t – 3) ...[By cross-multiplication]
⇒ 5(3t + 1) = 4(4t – 3)
⇒ 15t + 5 = 16t – 12
⇒ 15t – 16t = – 12 – 5 ...[Transposing 16t to LHS and 5 to RHS]
⇒ – t = – 17
⇒ `(-t)/(-1) = (-17)/(-1)` ...[Dividing both sides by –1]
∴ t = 17
APPEARS IN
RELATED QUESTIONS
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and the breadth of the pool?
Solve the following equation and check your result:
2x − 1 = 14 − x
On subtracting 8 from x, the result is 2. The value of x is ______.
Solve the following:
`(2x - 3)/(4x + 5) = 1/3`
Solve the following:
`x/5 = (x - 1)/6`
Solve the following:
8x – 7 – 3x = 6x – 2x – 3
Solve the following:
`x/2 - 1/4(x - 1/3) = 1/6(x + 1) + 1/12`
Solve the following:
`3x - (x - 2)/3 = 4 - (x - 1)/4`
Find a number whose fifth part increased by 30 is equal to its fourth part decreased by 30.
If `1/2` is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
