Question

8. The difference between two numbers is 14. If 1/3of the larger number is subtracted from the smaller number, the

result equals 1/10 of their sum. Find both numbers.

Answer 1

To solve this problem, set up a system of equations using the given information and solve for the unknown numbers using either substitution or elimination method.

Step-by-step explanation:

To solve the problem, let's assume the smaller number is x and the larger number is y. According to the problem, the difference between the two numbers is 14, so we can write the equation: y - x = 14.

The problem also states that when 1/3 of the larger number is subtracted from the smaller number, the result equals 1/10 of their sum. This can be written as: x - (1/3)y = (1/10)(x + y).

Now we have a system of two equations. We can solve this system by substitution or elimination method to find the values of x and y.