Question

The sum of two numbers is 7. The difference between two times the larger

number and the smaller one is 5. Find the numbers.
you can use the substitution or elimination method.


plz help

my test starts on this coming Monday.​

Answer 1

Let the two numbers be x, y where x > y.

As per condition,

x + y = 7

⇒ y = 7 - x __(A)

2x - y = 5

Now putting the value of y, (from A)

2x - (7 - x) = 5

⇒ 2x + x - 7 = 5

⇒ 3x = 12

⇒ x = 4.

So, y = 7 - x = 7 - 4 = 3.

∴ The numbers are 4 and 3.

TIP: Check whether 2(7) - 5 is equal to 5 or not.