a : b = 2 : 3 and a + b = 4. What is the value of )a + b) : (b - a)?
Created: 6 years ago |
Updated: 11 months ago
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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 = 2/3
We can rewrite this as:
a = (2/3) * b
Substituting this expression for a into the equation a + b = 4, we get:
(2/3) * b + b = 4
Multiplying through by 3 to eliminate the fraction, we have:
2b + 3b = 12
5b = 12
b = 12/5 = 2.4
Substituting the value of b back into the equation a + b = 4, we find:
a + 2.4 = 4
a = 4 - 2.4 = 1.6
Now 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 : 1
Therefore, the value of (a + b) : (b - a) is 5 : 1.
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