The sum of two numbers is 3572. When the larger number is divided by the smaller number, the quotient is 119, and the remainder is 6. Find the larger number.
Let the larger number be 'x' and the smaller number be 'y'. ATQ, x + y = 3572 ....(i) x = y × 119 + 6 Or, x - 119y = 6 ....(ii) On subtracting equation (ii) from equation (i), we get, 120y = 3566 Or, y = 29.72 Put the value of 'y' in equation (i), we get, x + 29 = 3572 Or, x = 3543.
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