Three numbers P, Q and R are in the ratio of 6 : 5 : 3 respectively. If R is…

To find the value of Q, we use the given ratio and the algebraic relationship provided in the problem.

Step-by-Step Calculation
Define the numbers based on the ratio:

The numbers P, Q, and R are in the ratio 6 : 5 : 3.

Let P = 6x, Q = 5x, and R = 3x, where x is a common multiplier.

Set up the equation based on the problem statement:

The problem states: "R is 32 less than the sum of P and Q."

Equation: R = (P + Q) - 32

Substitute the variables and solve for x:

3x = (6x + 5x) - 32

3x = 11x - 32

Rearrange the equation: 32 = 11x - 3x

32 = 8x

x = 4

Calculate the value of Q:

Q = 5x

Q = 5 × 4 = 20