Jim weighs 30 pounds less than Tom, and together they weigh 210 pounds. Let n = Tom's weight in pounds.
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Step-by-step explanation:
Jim and Tom's total weight is expressed by
n
+
(
n
−
30
)
=
210
and solving this equation tells us that Tom weighs 120 pounds, and Jim weighs 90 pounds.
Explanation:
If
n
is Tom's weight, then Jim's weight is
n
−
30
So an equation for their total weight would be
n
+
(
n
−
30
)
=
210
We could then continue to solve for
n
to find Tom's weight
⇒
2
n
−
30
=
210
⇒
2
n
−
30
+
30
=
210
+
30
⇒
2
n
=
240
⇒
2
n
2
=
240
2
⇒
n
=
120
Tom weighs 120 pounds.
Jim's weight is then
n
−
30
⇒
120
−
30
⇒
90
Jim weighs 90 pounds.
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