24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.

# 24 is divided into two parts such that 7 times the first part added to 5 times the second part makes 146. Find each part.

1. A
12,13
2. B
11,23
3. C
13,11
4. D
12,14

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### Solution:

Let first part = x
then second part = 24 – x  (∵ Sum = 24)
According to the condition,
7x+5(24−x)=146
7x+1205x=146
2x=146120=26
x = $\frac{26}{2}$ = 13
∴ First part = 13 and second part = 24 - 13 = 11
Hence, Option (3) is the correct answer.

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