The sum of two numbers is 90. One third of the larger number is 9 more than twice the smaller number. What are the smaller numbers?
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Answer:
The larger number is 81 and the smaller number is 9.
Step-by-step explanation:
Given the sum of two numbers = 90
Let the two numbers be and .
Sum of the numbers is ...(1)
Let be the larger number and be the smaller number.
Given one third of the larger number is 9 more than twice the smaller number.
Therefore,
Using equation (1),
And from equation (1),
Therefore, the larger number is 81 and the smaller number is 9.
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