Problema Solution

The difference between two number is 10. If three times is larger is added to twice the smaller, the result is 70. Find the two numbers.

Answer provided by our tutors

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


the difference between two number is 10


x - y = 10


if three times is larger is added to twice the smaller, the result is 70


3x + 2y = 70


by solving the system of equations


x - y = 10

3x + 2y = 70


we find


x = 18


y = 8


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the two numbers are 18 and 8.