Answer:
-21 or 4
Step-by-step explanation:
Step-by-step explanation:
Let the smaller number be y and the larger number be x , then
x - y = 8 ..................... equation 1
From the second statement
.................... equation 2
combining the two equations:
.......................equation 1
.................... equation 2
solving the system of equation by substitution method , from equation 1 , make y the subject of the formula.
...................... equation 3
substitute equation 3 into equation 2 , we have
Factorizing the quadratic expression , we have
That is
or
When ,
(-13 , -21 )
when ,
( 12 ,4 )
Check:
-13 - (-21)
-13 + 21 = 8
Also
12 - 4 = 8
Therefore , the smaller number is -21 or 4
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