Question

5. The sum of three numbers in A.P. is 30 and the ratio of first number to the third number is 3:7. Find
4. Sp
the numbers.
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Answer 1

Step-by-step explanation:

Solution:

•°•let the three no.

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

=>sum of no.=30

3a =30

a=10

now,

=>Ratio of first no. to third no. is 3:7

now,

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

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

=>70-7d=30+3d

=>40=10d

=>d=4

and a=10

no. are :

1st=>(a-d)=10-4=6

2nd=>(a)=10

3rd=>(a+d)=10+4=14

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Answer 2

Answer:

let the three no. be a-d,a,a+d

given:

a-d+a+a+d=30

3a=30

a=10

given: a-d/a+d=3/7

7a-7d=3a+3d

7a-3a=3d+7d

4a=10d

by putting the value of a, we get

4*10=10d

40=10d

d=4