find three number in AP such that the sum is 9 and their products is -48?
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Hey there,
I HOPE UR QUESTION IS WRONG
Proper question is:-
Find the three numbers in AP whose sum is 9 and product is -165
ANSWER:-
➺Let the 3 no. be a, b ,c
According to question,
a+ b +c = 9 and
a b c = –165
As they are consecutive numbers which means (Numbers which follow each other in order, without gaps, from smallest to largest)
So,
we can write a, (a+1) , (a+2) as the consecutive numbers
Substituting value in a+ b +c=9,
⟹ a+(a+1)+(a+2) = 9
⟹ a+a+a+2+1 = 9
⟹ 3a + 3 =9
⟹ 3a= 9-3
⟹ 3a=6
⟹ a = 2
As a=2 so,
The 2nd no. is = a+1 = 2+1 = 3
The 3rd no. is = a+2 = 2+2 = 4
∴The 3 consecutive number are 2,3,4
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