Question

If a = 2x - 5, 3b = 3x + 1 and if a : b = 3 : 2, find the value of x.

Answer 1

`"a"/"b" = (3)/(2)`  ...(Given)
⇒ On Cross - multiplying, we get:
2a = 3b ---(1)
Also, a = 2x - 5, 3b = 3x + 1  -----(2)
From (1) and (2),
2(2x - 5) = 3x + 1
⇒ 4x - 10 - 3x -1 = 0
⇒ x = 11.