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Grade: 7

                        

Sum of three numbers in an AP is 15 and sum of squares of its 1st and 3 rd term is 58. Find the numbers

2 years ago

Answers : (1)

Susmita
425 Points
							
Let the numbers be
(a-r),a,(a+r).
So
(a-r)+a+(a+r)=15
Or,3a=15
Or,a=5
Also
(a-r)2+(a+r)2=58
Or,a2-2ar+r2+a2+2ar+r2=58
Or,a2+r2=29
or,r2=29-52=4
or,r=2
So the numbers are
3,5,7
If it helps please approve.
 
2 years ago
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