MemberJune 22, 2023 at 3:32 pm::
To find the values of a and b when the sum of a and b is 60 and their ratio is 3:2, we can set up a system of equations and solve for the variables.
Let’s denote a as 3x and b as 2x, where x is a common factor.
Given: a + b = 60 (Equation 1) a:b = 3:2 (Equation 2)
Substituting the values of a and b in Equation 1: 3x + 2x = 60
Combining like terms: 5x = 60
Dividing both sides by 5: x = 12
Now, substitute the value of x back into the expressions for a and b: a = 3x = 3 * 12 = 36 b = 2x = 2 * 12 = 24
Therefore, the values of a and b are: a = 36 b = 24