SOLUTION: The sum of two numbers is equal to 77. The first number is multiplied by 8 and the
second is multiplied by 6. Now the products are equal. What is the larger number
equal to?
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-> SOLUTION: The sum of two numbers is equal to 77. The first number is multiplied by 8 and the
second is multiplied by 6. Now the products are equal. What is the larger number
equal to?
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Question 1122057: The sum of two numbers is equal to 77. The first number is multiplied by 8 and the
second is multiplied by 6. Now the products are equal. What is the larger number
equal to? Answer by ikleyn(52782) (Show Source):
x + y = 77 (1)
8x = 6y (2)
From the first equation, express y = 77-x and substitute it into equation (2)
8x = 6*(77-x),
8x = 6*77 - 6x
8x + 6x = 6*77
14x = 6*77 ====> x = = 33.
Then y = 77 - 33 = 44.
Answer. The larger number is 44.
