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The sum of four numbers in A.P is 20. The ratio of the product of the first and the last numbers and the product of 2nd & 3rd numbers is 2:3 ; Find the numbers
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ANSWER = 2,4,6,8 OR 8,6,4,2
 one year ago
 one year ago
The sum of four numbers in A.P is 20. The ratio of the product of the first and the last numbers and the product of 2nd & 3rd numbers is 2:3 ; Find the numbers . . . ANSWER = 2,4,6,8 OR 8,6,4,2
 one year ago
 one year ago

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koli123ableBest ResponseYou've already chosen the best response.0
Cant understand how to start
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
Let four numbers in AP be a3d ,ad ,a+d and a+3d
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
Now, a3d+ad+a+d+a+3d=20 4a=20 a=5
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
Also, (a3d)(a+3d)/ {(ad) (a+d)} =2/3
 one year ago

koli123ableBest ResponseYou've already chosen the best response.0
i cant understand this sentence "The ratio of the product of the first and the last numbers and the product of 2nd & 3rd numbers is 2:3"
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
It simply means (a3d)(a+3d)/ {(ad) (a+d)} =2/3
 one year ago

koli123ableBest ResponseYou've already chosen the best response.0
what should i do next.. cross multiply?
 one year ago

sauravshakyaBest ResponseYou've already chosen the best response.1
Now, 3(a3d)(a+3d) =2(ad)(a+d) 3a^2 27d^2 =2a^2 2d^2 a^2 =25d^2 Also a=5 5^2 =25d^2 d^2=1 d=+1
 one year ago

koli123ableBest ResponseYou've already chosen the best response.0
i have to substitute the values of a and d in the four numbers which were a3d, and so on
 one year ago

koli123ableBest ResponseYou've already chosen the best response.0
ok got the numbers :)
 one year ago
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