The sum of two numbers is 40 and the difference is 4. What are the numbers?
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Answer:
He have <u>47</u> ducks and <u>7</u> cows.
Step-by-step explanation:
Given:
Farmer Jones raises ducks and cows.
He looks out his window and sees 54 animals with a total of 122 feet.
Now, to find the each type of animal he have.
Let the number of ducks be
And the number of cows be
So, total number of animals are:
....( 1 )
As, the feet of cows are 4 and ducks are 2.
Now, the total number of feet are:
Substituting the value of from equation (1) we get:
<em>Subtracting both sides by 108 we get:</em>
<em>Dividing both sides by 2 we get:</em>
<em>The number of cows = 7.</em>
Now, to get the number of ducks we substitute the value of in equation (1):
<em>The number of ducks = 47.</em>
Therefore, he have 47 ducks and 7 cows.