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Solution


Q.

If 49x + 51y = 499, 51x + 49y = 501, then find the value of x and y

Ans.

(112,92)

Adding the two equations and dividing by 10, we get : x + y = 10

Subtracting the two equations and dividing by -2, we get : x – y = 1

Solving these two new equations, we get, x = 11/2 and y = 9/2