If a:b = 7 : 3, find (2a + 3b) : (6a + 7b)

21:63

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23:63

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23:61

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23:65

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Solution

The correct option is B
23:63

Let a = 7k and b = 3k, where k is the constant of proportionality.

(2a + 3b) : (6a + 7b) = (2(7k)+3(3k)) : (6(7k)+7(3k))

= 14k + 9k : 42k + 21k

= 23k : 63k

= 23 : 63

Hence the ratio is 23 : 63

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If a : b = 3 : 8, find the value of $\frac{4 a + 3 b}{6 a - b}$

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(5 a + 8 b) : (6 a - 7 b) .

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if a : b = 5:3, find 5a + 8b : 6a – 7b.

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(10 a + 3 b) : (5 a + 2 b)

a : b = 3 : 5

(10 a + 3 b) : (5 a + 2 b)

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