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a : b = 2 : 3 and a + b = 4. What is the value of )a + b) : (b - a)?

a : b = 2 : 3 and a + b = 4. What is the value of )a + b) : (b - a)? Correct Answer 5 : 1

Given that a : b = 2 : 3 and a + b = 4, we can solve for the values of a and b.Let's set up the equation based on the ratio:a/b = 2/3We can rewrite this as:a = (2/3) * bSubstituting this expression for a into the equation a + b = 4, we get:(2/3) * b + b = 4Multiplying through by 3 to eliminate the fraction, we have:2b + 3b = 125b = 12b = 12/5 = 2.4Substituting the value of b back into the equation a + b = 4, we find:a + 2.4 = 4a = 4 - 2.4 = 1.6Now we can calculate the value of (a + b) : (b - a):(a + b) : (b - a) = (1.6 + 2.4) : (2.4 - 1.6) = 4 : 0.8 = 5 : 1Therefore, the value of (a + b) : (b - a) is 5 : 1.

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