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If the sum of two numbers is divided by 13, the quotient is 4 and the remainder 8. If the difference of the same numbers is divided by 4, the quotient is 3 and the remainder is 2. Find the numbers.

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37, 23

30, 25

35, 24

None of these

answer is A.

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Detailed Solution

In first condition The sum of two numbers is divided by 13, the quotient is 4 and the remainder 8.
Formula: Dividend = (divisor

Quotient) + Remainder Let two numbers are a & b
Putting the value S in formula Question Image

In second condition The difference of the numbers is divided by 4, the quotient is 3 and the remainder is 2.
Putting the values in formula

On adding equation (1) and equation (2) Question Image

Putting the value of a in equation (1)

Hence, the numbers are 37, 23.

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