Question

The sum of two numbers is 65 If twice the smaller number is subtracted from the larger number, the result is 5. Find the two numbers.

Answer 1

Step-by-step explanation:

Let the two numbers be x and y.

x+y=65

And,

x-2y=5

So now, we have two equations.

We can apply substitution method.

x=65-y --- 1

Now, substitute x in x-2y=5

65-y-2y=5

-3y=5-65

-3y=-60

Cancel minus sign on both sides.

3y=60

y=60÷3

y=20 ---- 2

Now, substitute y in 1.

x=65-20

x=45

Therefore, x=45 & y=20.

Hope this helps you.