Find two numbers in the ratio of 7:12 so that the greater exceeds the less by 275.
The ratio of two numbers are 7:12Let 7x and 12x be the two required number.
According to the question,
⇒ 12x−7x=275
⇒ 5x=275
∴ x=55
⇒ 7x=7×55=385
⇒ 12x=12×55=660
∴ The required two numbers are 385 and 660.