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Answer :
Final answer:
To solve for the larger addend, an equation is set up where the sum of the smaller addend (x) and the larger addend (x + 8410) equals 11190. After solving, the larger addend is found to be 9800, which is option (e).
Explanation:
To find the value of the larger addend when the sum of two numbers is 11190 and one addend is 8410 greater than the other, we can set up an equation. Let the smaller addend be x. Therefore, the larger addend is x + 8410. According to the question, these two add up to 11190:
x + (x + 8410) = 11190
Solving this equation involves combining like terms:
2x + 8410 = 11190
Then we subtract 8410 from both sides to isolate the 2x term:
2x = 11190 - 8410
2x = 2780
Now we divide both sides by 2 to find the value of x:
x = 2780 / 2
x = 1390
The smaller addend is 1390, and the larger addend is 1390 + 8410, so:
1390 + 8410 = 9800
Therefore, the value of the larger addend is 9800, which is option (e).
The Question is incomplete. The complete question is
The sum of two numbers is 11190. If one of the addends is 8410 greater than the other addend, then what is the value of the larger addend?
a. 9200
b. 9700
c. 10500
d. 11190
e. 9800
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