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Arithmatic Progression

Arithmatic Progression

by prasad sarvate -
Number of replies: 1
there are two sets of numbers each consisting of 3 terms in A.P and the sum of each set is 15.the c.d of the first set is greater by 1 than the c.d of the second set,and the product of the first set is to the product of the second set as 7 to 8;find the numbers?
In reply to prasad sarvate

Re: Arithmatic Progression

by Harshit Gulati -
Let the two AP's be
    (a1 - d),a1,(a1 + d)
             &
    {a2 - (d-1)},a2,{a2 + (d-1)}

(a1 - d) + a1 + (a1 + d)=15
a1 = 5
similarly  a2 = 5

now                      (5-d)*5*(5+d)/{5-(d-1)}5{5+(d-1)} =7/8
solve for d, you'll get d=-16,2

therefore the sets of APs are  {-11,5,21}, { -12,5,22}  &  {3,5,7},{4,5,6}