Question

The sum of
three numbers in a A.p is
15 and
their product is 105 find the
number .​

Answer 1

Answer:

ok so let number be x

15*x=105

x=105÷15

x=7

other number is seven

please mark me branliest

Answer 2

Let the three number in A.P. be(a-d),a and(a+d).

Given,The three numbers in ap whose sum is 15

So..

(a-d)+a+(a+d)=15

==>3a=15

==>a=15/3=5

==>a=5

Again,

The three numbers in ap whose product is 105.

So.

• (a-d)a(a+d)=105
• a(a^2-d^2)=105
• 5(25-d^2)=105
• 25-d^2=21
• d^2=4
• d=±2

When,d=2

The three terms of A.P.

=(5-2)5,and (5+2)

=3,5 and 7

And when,d=-2

The three terms of A.P.

=(5+2)5,and (5-2)

=7,5 and 3

So the numbers are 3,5,7.