Q34. Two number are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is

(a) 39

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(b) 49

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(d) 77

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Solution

The correct option is D
(d) 77

Let the numbers be 7x and 11x

$\frac{7 x + 7}{11 x + 7} = \frac{2}{3}$

21x + 21 = 22x + 14

X = 7

Numbers be 7x = 7 × 7 = 49

11x = 11 × 7 = 77

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Q34. Two number are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is

The correct option is D (d) 77 Let the numbers be 7x and 11x 7x+711x+7=23 21x + 21 = 22x + 14 X = 7 Numbers be 7x = 7 × 7 = 49 11x = 11 × 7 = 77

The correct option is D
(d) 77

Let the numbers be 7x and 11x

$\frac{7 x + 7}{11 x + 7} = \frac{2}{3}$

21x + 21 = 22x + 14

X = 7

Numbers be 7x = 7 × 7 = 49

11x = 11 × 7 = 77