If a:b = 5:2 then what is the value of (3a+2b) :(3a-2b)
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Given :
a:b = 5:2
To find:
(3a + 2b) : (3a - 2b)
Solution:
Let, a = 5x and b = 2x
Then,
(3a + 2b) : (3a - 2b)
= (3 * 5x + 2 * 2x) : (3 * 5x - 2 * 2x)
= 19x : 11x
= 19:11
Therefore, (3a + 2b) : (3a - 2b) = 19:11.
Hence, the required answer is 19:11.
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