Answer: The numbers are 7 and 5
Step-by-step explanation:
Let the first number be x and the second number be y.
From the first statement , it was said that one of the number is two more than the other , that is
x - y = 2 .................. equation 1
square of x is and the square of y is
, the difference between thier squares implies
-
= 24 .............. equation 2
solving the resulting simultaneous equations by substitution method:
From equation 1 , make x the subject of the formula , that is
x = 2 + y ............. equation 3
substitute equation 3 into equation 2 , we have
-
= 24
Expanding , we have
+ 4y + 4 -
= 24
4y + 4 = 24
Subtract 4 from both sides
4y = 20
y = 20/4
y = 5
substitute y = 5 into equation 3 , we have
x = 5+ 2
x = 7
Therefor the numbers are 7 and 5