Problema Solution

The larger of two numbers is 7 less than four times the smaller. When the smaller number is subtracted from the larger, the difference is 5

Answer provided by our tutors

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


the larger of two numbers is 7 less than four times the smaller


x = 4y - 7


when the smaller number is subtracted from the larger, the difference is 5


x - y = 5


by solving the system of equations


x = 4y - 7

x - y = 5


we find


x = 9


y = 4


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the two numbers are 9 and 4.