Problema Solution

how could you seperate 58 into two parts that if the larger number is divided by the smaller,the quotient is 5 and the remainder is 4.what are the numbers?

Answer provided by our tutors

let 'x' and 'y' be the numbers and x>y


x + y = 58


if the larger number is divided by the smaller,the quotient is 5 and the remainder is 4


x = 5y + 4


by solving the system of equations


x + y = 58

x = 5y + 4


we find


x = 49


y = 9


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the numbers are 49 and 9.