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Answer :
Answer:
Sam is 42 years old and Rob is 14 years old.
Step-by-step explanation:
x = Rob's age
3x = Sam's age
3x - 15 = x + 13
3x - x = 13 + 15
2x = 28
x = 14
Check: If you subtract 15 from Sam's age and add 13 to Rob's age they would both be 27.
3(14) - 15 = 14 + 13
42 - 15 = 27
27 = 27
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Answer:
Rob's age = 14
Sam's age = 42
Step-by-step explanation:
sam is 3 times as old as Rob.
Let S be the sam's age and R be the Rob's age
[tex]S=3R[/tex]
If 15 is subtracted from Sam's age and 13 is added to Rob's age, their ages will be equal.
[tex]S-15=R+13[/tex]
Replace S with 3R
[tex]3R-15=R+13[/tex]
Subtract R on both sides
[tex]2R-15=13[/tex]
Add 15 on both sides
[tex]2R=28[/tex]
Divide both sides by 2
R= 14
Rob's age = 14
Sam's age = 3(R)= 3(14)= 42
Sam's age = 42
