Answer:
((819.458,813.542)
Step-by-step explanation:
sum of two numbers=1633
x+y=1633----equation (i)
their difference=35
(x-y)^2=35----equation (ii)
solve simultaneous equation by using substitution method
x+y=1633
make x the subject of the formula
x=1633-y---(i)
substitute equation (i)into (ii)
(x-y)^2=3
(1633-y-y)^2=35
(1633-2y)^2=35
apply square root both sides
√(1633-2y)^2=√35
1633-2y=√35
-2y=√35-1633
-2y=-1627.08392
divide both sides by -2
y=813.5419601
substitute the value of y in equation (i
x=1633-y
x=1633-813.5419601
x=819.4580399
therefore the two numbers are (819.458, 813.542)
