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The difference between two whole numbers is 66. The ratio of the twonumbers is 2 : 5. What are the two numbers?​

Answer»

n: Since the ratio of the two numbers is 2 : 5, we may take one number to be2x and the other to be 5x. (Note that 2X : 5x is same as 2 : 5.) The difference between the two numbers is (5x – 2x). It is given that the differenceis 66. Therefore, 5x – 2x = 66 or 3x = 66 or X = 22 Since the numbers are 2x and 5x, they are 2 × 22 or 44 and 5 × 22 or 110, RESPECTIVELY. The difference between the two numbers is 110 – 44 = 66 as desired.



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