Question

What two two digit numbers that when added together equal 30 and when subtracted equals 4 or -4? Please respond quickly and with work and I will mark best answer as the brainliest answer!

Answer 1

Answer:

The two digit numbers are 13 and 17.

Step-by-step explanation:

Firstly, you have to form a simultaneous equation. The information is when 2 number are added equals to 30 and when substracted is equals to 4 or -4. Let variable to represents the number :

Let x be 1st number,

Let y be 2nd number,

$x + y = 30 - - - - (1)$

$x - y = 4 - - - - (2)$

Then you have to solve these simultaneous equation :

$(1) - (2)$

$x - x + y - ( - y) = 30 - 4$

$y + y = 26$

$2y = 26$

$y = 13$

Substitute y = 13 into (2),

$x - 13 = 4$

$x - 13 + 13 = 4 + 13$

$x = 17$