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Question

For a business, investment made by family is 113x + 213 and total investment received is 22x + 1278.

If total investment is a times that of family investment, find the value of a.

A
3
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B
5
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C
6
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D
7
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Solution

The correct option is C 6
Family investments = 113x + 213
Total investment = 22x + 1278

Now,
22 can be factored as 6 × 113

Similarly,
1278 can be factored as 6 × 213

Writing 22x + 1278 in terms of factors,
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> ⇒ ( 113 × 6)x + (213 × 6)
⇒ 6 ( 113x + 213)

Comparing with total investment
= a × (Family investment)
a = 6

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