Question 82

If a : b = 5 : 8, then (4a + 5b) : (5a + 4b) =

Solution

Let a = 5x and b = 8x

4a + 5b = 20x + 40x = 60x

5a + 4b = 25x + 32x = 57x

$$\therefore\ $$(4a + 5b) : (5a + 4b) = 60x : 57x = 60 : 57

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