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Question

If a : b = 3 : 8, find the value of 4a+3b6ab

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Solution

given
a:b=3:8
so we write
a=3k
b=8k
so the value of
fraction numerator 4 a plus 3 b over denominator 6 a minus b end fraction equals fraction numerator 12 k plus 24 k over denominator 18 k minus 8 k end fraction equals fraction numerator 36 k over denominator 10 k end fraction equals 18 over 5 equals fraction numerator 4 a plus 3 b over denominator 6 a minus b end fraction

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