Answer :

Let the larger number be x and smaller number be y.

As we know that,

Dividend = Divisor × quotient + remainder ….. (1)

When 5x is divided by y we get 5 as quotient and 3 as a remainder.

By (1)

5x = 5y + 3

5x – 5y – 3 = 0 ….. (2)

When 7y is divided by x we get 5 as a quotient and 3 as a remainder.

By (1)

7y = 5x + 1

5x – 7y – 1 = 0

By Method of cross multiplication:

a_{1}x + b_{1}y + c_{1} = 0

a_{2}x + b_{2}y + c_{2} = 0

Here a_{1}= 5 a_{2} = 5

b_{1}= –5 b_{2} = – 7

c_{1}= –3 c_{2} = –1

So, for the given values,

x=1.6, y=1

**Hence values of x and y are 1.6, 1.**

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