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Option 2 : 18
Calculation:
Let the smaller number be x and larger number be y
According to the question,
⇒ 3y = 4x + 3
⇒ y = (4x + 3) × 1/3 …… (1)
According to the question,
⇒ 7x = 5y + 1
⇒ y = (7x – 1) × 1/5 …… (2)
From (1) and (2) we get,
⇒ (4x + 3) × 1/3 = (7x – 1) × 1/5
⇒ 4x/3 + 1 = 7x/5 – 1/5
⇒ 7x/5 – 4x/3 = 1 + 1/5
⇒ (21x – 20x)/15 = 6/5
⇒ x = 15 × 6/5
⇒ x = 18
∴ The smaller number = 18
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