Question

The sum of three numbers in A.P. is 30 and the ratio of first number to the third number
is 3:7. Find the numbers.
​

Answer 1

Answer:

let the numbers are A B and C.

A.t.Q. A+B+C=30

and A:C=3:7

we know that In AP,

2*middle term= sum of first and 3rd term so

2B = A+C then

2B = 3x +7x

B= 5x

now.,

3x+5x+7x=30

x= 2

so A= 6

B= 14

C= 10

Answer 2

SOLUTION

let the three number

(a-d), a,(a+d)

=) sum of number= 30

=)a-d+ a+a+d = 30

=) 3a= 30

=) a= 30/3

=) a= 10

Now,

=) (a-d)/(a+d) = 3/7

=) 10-d/10+d= 3/7

=) 70-7d= 30+3d

=) 40= 10d

=) d= 40/10

=) d= 4

& a= 10

Number are:

1st number= a-d= 10-4= 6

2nd number= a= 10

3rd number= a+d= 10+4= 14

hope it helps ☺️⬆️