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If a : (b+c) = 1 : 3 and c : (a+ b) = 5:7, then b : (a+c) is equal to
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- 1 : 2
- 2 : 3
- 1 : 3
- 2 : 1
Correct Option: A
a : (b+c) = 1: 3
| ⇒ | = | ⇒ | + 1 = | + 1 | ||||
| a | 1 | a | 1 |
| ⇒ | = | = | ..... (i) | |||
| a | 1 | 1 |
Similarly,
| = | ||
| c | 5 |
| ⇒ | = | ..... (ii) | ||
| c | 5 |
On dividing (i) by (ii),
| = | = | = k ..... (iii) | |||
| a | 12 | 3 |
From equation (i), b = 4k
| ∴ | = | = 1: 2 | ||
| a + c | 3k + 5k |
