the sum of three numbers in ap is 30 and the ratio of first number to the third number is 3:7.find the numbers
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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
==================
^_^
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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