Question

13. Two numbers are in the ratio 2:3. If 4 be subtracted from each, they are in the ratio 3:5. The
numbers are
(a) (16, 24)
(b) (4.6)
(c) (2, 3)
(d) none of these
14. The angles of a triangle are in ratio
in ratio 2:7:11. The angles​

Answer 1

Step-by-step explanation:

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Answer 2

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let the numbers be 2x and 3x

then, according to the question

$\frac{2x - 4}{3x - 4} = \frac{3}{5} \\ \\ \implies5(2x - 4) = 3(3x - 4) \\ \\ \implies 10x - 20 = 9x - 12 \: \: \: \: \: \: \\ \\ \implies10x - 9x = - 12 + 20 \: \: \: \: \\ \\ \implies \: x = 8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

so, numbers are 2 × 8 = 16 and 3 × 8 = 24

option A

_____________________

let angles of the triangle are ;

2x , 7x and 11x

➪ 2x + 7x + 11x = 180

➪ 20x = 180

➪ x = 180/20

➪ x = 9

so, angles of the triangle are

• 2 × 9 = 18°
• 7 × 9 = 63°
• 11 × 9 = 99°