CAT
Exam
The sum of three numbers in A.P. is 45. If the sum of their squares is 683, what is the largest of the three numbers?
Read Solution (Total 3)
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- 17
numbers are 13,15,17 - 12 years agoHelpfull: Yes(2) No(0)
- a-d+a+a+d=45
a=15
(a-d)2+a2+(a+d)2=683
d2=4
so 17 - 12 years agoHelpfull: Yes(1) No(0)
- let the numbers be a-d, a, a+d.
(a-d)+(a)+(a+d)=45
3a=45
a=15
(a-d)^2+a^2+(a+d)^2=683
d=2
so numbers = 13,15,17
therefore, largest number is 17 - 9 years agoHelpfull: Yes(1) No(0)
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