Find two numbers in the ratio of 7:12 so that the greater exceeds the less by 275
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Let the two numbers be a:b and assume that b>a
Given that ba=127 and b−a=275
⇒b=a+275
Substitute above equation in ba=127
⇒a+275a=127
⇒12a=7a+7×275
⇒a=7×55=385
So the value of b=a+275=385+275=660
Therefore the two numbers are 385,660
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