21
Question
The sum of the ages of father and his son is 42 years. The product of their ages is 185, find fathers age
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Solution
Let the son's age be s and father's age be f
Then, f+s=42f=42−s..........(1)
sf=185
s(42−s)=185...........From (1)
42s−s2=185
s2−42s+185=0
s2−37s−5s+185=0
(s−37)(s−5)=0
s=37,5
Hence, son's age is 5 years and father's age is 37 years
Then, f+s=42
f=42−s..........(1)
sf=185
s(42−s)=185...........From (1)
42s−s2=185
s2−42s+185=0
s2−37s−5s+185=0
(s−37)(s−5)=0
s=37,5
Hence, son's age is 5 years and father's age is 37 years
sf=185
s(42−s)=185...........From (1)
42s−s2=185
s2−42s+185=0
s2−37s−5s+185=0
(s−37)(s−5)=0
s=37,5
Hence, son's age is 5 years and father's age is 37 years
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