MathematicsThe two numbers whose sum is 75 and difference is 15 are ____ and ____.

The two numbers whose sum is 75 and difference is 15 are ____ and ____.


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    Solution:

    The two numbers whose sum is 75 and difference is 15 are 45 and 30.
    Given that the sum of two numbers is 75 and the difference is 15. We need to find the two numbers.
    Let us assume the two numbers are x and y.
    Thus, according to the question, we have,
    x+y=75...(i) xy=15...(ii)  
    Now adding equation (i) and (ii), we have,
    x+y+xy=75+15 2x=90 x= 90 2 x=45  
    Substituting the value of x in equation (i), we have,
    45+y=75 y=7545 y=30  
    Thus, the numbers are 45 and 30.
     
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