the sum of three non-zero prime numbers is 100. one of them exceeds the other by 36. find the largest number.
A) 73 B)91 C)67 D)57.
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let p₁+p₂+p₃=100
also let p₂=p₁+36⇒2p₁+p₃=64
from here p₁ ≠p₂≠2 hence p₁=31 and p₂=67
∴the largest number is 67
also let p₂=p₁+36⇒2p₁+p₃=64
from here p₁ ≠p₂≠2 hence p₁=31 and p₂=67
∴the largest number is 67
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the sum of three non-zero prime numbers is 100. one of them exceeds the other by 36. find the largest number.
A) 73
B)91
C)67✔️
D)57.
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