Advertisements
Advertisements
प्रश्न
Solve the following:
`(3t + 5)/4 - 1 = (4t - 3)/5`
Advertisements
उत्तर
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
संबंधित प्रश्न
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?
The base of an isosceles triangle is `4/3` cm. The perimeter of the triangle is `4 2/15` cm. What is the length of either of the remaining equal sides?
If `15/8 - 7x = 9`, then `-7x = 9 + 15/8`
Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
Solve the following:
`(2x - 3)/(4x + 5) = 1/3`
Solve the following:
`8/x = 5/(x - 1)`
Solve the following:
`1/2(x + 1) + 1/3(x - 1) = 5/12(x - 2)`
Solve the following:
`3x - (x - 2)/3 = 4 - (x - 1)/4`
Solve the following:
0.25(4x – 5) = 0.75x + 8
If `1/2` is subtracted from a number and the difference is multiplied by 4, the result is 5. What is the number?
