Math, asked by ItsYash2002, 1 year ago

Three no. are in AP their sum is 27 and the sum of their squares is 275. Find the number

Answers

Answered by praneeth06

given three numbers in ap. so let them be a-d,a,a+d

sum of three numbers is 3a =27 implies a is 9
given sum of squares is is 275 so
$( {a}^{2} + {d}^{2} )2 = 275 - 81 = 194 \\ 81 + {d}^{2} = 97 \\ d = 4$
therefore the numbers are 5,9,13

ItsYash2002: Can you explain the second step more clearly pls

praneeth06: sum of squares so (a+d)^2 + a^2+(a-d)^2 is equated to 275

praneeth06: a= 9 is substituted

ItsYash2002: Ok I got it. Thanks for the help

praneeth06: and a+b and a-b whole square formulae used to expand

praneeth06: hey welcome.. could you mark it brainliest

Answered by nalinsingh

Answer:

Step-by-step explanation:

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