X is the short piece
(3•x-1)+x=31
4x=31+1
X=32/4=8
Short piece is 8
Long piece is 3•8-1=23
Check 8+23=31 ✔️
Casey is 18 years old and Ralph is 3 years old.
Step-by-step explanation:
Let,
Age of Casey = x
Age of Ralph = y
According to given statement;
x = 6y Eqn 1
In two years
x+2=4(y+2)
x+2=4y+8
x = 4y+8-2
x = 4y+6 Eqn 2
Putting value of x from Eqn 1 in Eqn 2

Dividing both sides by 2

Putting y=3 in Eqn 1

Casey is 18 years old and Ralph is 3 years old.
Keywords: word problems, substitution method
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The answer seems to be B. atleast I am 90 percent sure
Answer:
Step-by-step explanation:numerator divided by denominator???