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Question

The difference of two numbers is 3 and the difference of their squares is 69. Find the numbers.


Solution

Let one number = x

Second number = x + 3

[ Difference of two numbers is 3]

According to the statement :

    (x+3)2(x)2=69 (x)2+(3)2+2×x×3x2=69 x2+9+6xx2=69 6x=699 6x=60   x=606   x=10

One number = 10

Second number = x + 3 = 10 + 3 = 13.

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