of the 3 nbers whose avg is 66.the first is equal to the sum of other 2.find first number
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Correct Question :
Out of the 3 numbers whose average is 66. The first number is equal to the sum of other 2 numbers. Find the first number.
AnswEr :
Let the Numbers be a, b and, c.
» 1st No. = Sum of Other Two
» a = b + c — eq.( 1 )
• According to the Question Now :
⇒ Average = Sum of Numbers / Total No.
⇒ 66 = ( a + b + c ) / 3
⇒ 66 × 3 = ( a + b + c )
⇒ ( a + b + c ) = 198
⇒ ( b + c ) + b + c = 198 — [from ( 1 )]
⇒ 2b + 2c = 198
⇒ 2( b + c ) = 198
⇒ ( b + c ) = 198 / 2
⇒ ( b + c ) = 99
⋆ From Eq.( 1 ) a = ( b + c ) = 99
჻ First Number of this Average is 99.
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