When a smaller number divides a larger number, we get a quotient of 6 and a remainder of 5. Find the smaller number if the difference between the two numbers is 1540.
Let the smaller number be = a ⇒ Larger number = a + 1540 As per the question: a + 1540 = a × 6 + 5 ⇒ 5a = 1535 ⇒ a = 307 ∴ The smaller number = 307
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