The numbers `a,b,c` are in `A.P.` and `a+b+c=60`. The numbers `(a-2)`, `b`, `(c+3)` are in `G.P.` Then which of the following is not the possible valu

Question

The numbers `a,b,c` are in `A.P.` and `a+b+c=60`. The numbers `(a-2)`, `b`, `(c+3)` are in `G.P.` Then which of the following is not the possible valu

The numbers `a,b,c` are in `A.P.` and `a+b+c=60`. The numbers `(a-2)`, `b`, `(c+3)` are in `G.P.` Then which of the following is not the possible value of `a^(2)+b^(2)+c^(2)` ?
A. `1208`
B. `1218`
C. `1298`
D. None of these

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`(b)` `a+b+c=60` and `2b=a+c` ,brgt `:.b=20` ,brgt `impliesc=40-a`
`:.a-20`, `20`, `43-a` are in `G.P.`
`implies(a-2)(43-a)=400`
`impliesa=27` or `18`
If `a=27`, then `b=20`, `c=13`
If `a=18`, then `b=20`, `c=22`

4 views Answered 2023-02-05 15:29