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Sum of two numbers is 97. If the larger number is divided by the smaller, the quotient is 7 and the remainder is 1. Find the numbers.

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75, 14

90, 14

75, 18

85, 12

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Detailed Solution

Concept- Using the given information, we will form linear equations in two variables and then solve for the values of

and

.
Consider the two numbers as

and

, where

is the larger number.

By the given condition,

When substituting (2) in (1), we get

Therefore, the required numbers are 85 and 12.
Hence, the correct answer is option 4) 85, 12.
of a Linear Equation
of a Linear Equation

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