Problema Solution
Two numbers have a sum of 65. Four times the smaller number is equal to 10 more than the larger number. Find the numbers
Answer provided by our tutors
let 'x' and 'y' be the numbers and x > y
the sum of the numbers is 65 thus
x + y = 65
4 times the smaller number is equal to 10 more than the larger number
4y = x + 10
by solving the system of equations
x + y = 65
4y = x + 10
we find
x = 50
y = 15
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the numbers are 50 and 15.