The sum of two numbers is 10 twice the larger exceeds three times the smaller by 5 find the numbers

Text Solution

Solution : Let the two numbers x and y, and `x gt y`. <br> According to equation, x + y = 80 …(1) <br> and x - 4y = 5 …(2) <br> Subtracting equation (2) from (1), we get <br> 5y = 75 implies y = 15 <br> Putting, y = 15 in equation (1), we get <br> x + 15 = 80 <br> implies x = 65 <br> Hence, the required numbers are 65 and 15.