What no. should be added to each of the no. 12,22,42 and 72 so that the resulting no. maybe in prportion.
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Answered by
2
Let the number which be added be x
So (12+x), (22+x), (42+x)and (72+x) are in proportion
So middle terms product = end terms product
(42+x)(22+x)=(12+x)(72+x)
924+64x+x^2=864+84x+x^2
924+64x=864+84x
60=20x
x=3
So (12+x), (22+x), (42+x)and (72+x) are in proportion
So middle terms product = end terms product
(42+x)(22+x)=(12+x)(72+x)
924+64x+x^2=864+84x+x^2
924+64x=864+84x
60=20x
x=3
Answered by
1
hey there!!!
let the no to be added be 'x'.
so nos will be 12+x,22+x,42+x,72+x.
so to be in proportion.
12+x = 42+x
22+x 72+x
(12+x)(72+x)=(42+x)(22+x)
12(72+x)+x(72+x) = 42(22+x)+x(22+x)
864+12x+72x+x^2=924+42x+22x+x^2
864+84x=924+64x
84x-64x=924-864
20x=60
x= 3
hope it helps you!!!!
if you have any doubts , pls let me know in the comments
mark it as brainliest ans pls !!!
let the no to be added be 'x'.
so nos will be 12+x,22+x,42+x,72+x.
so to be in proportion.
12+x = 42+x
22+x 72+x
(12+x)(72+x)=(42+x)(22+x)
12(72+x)+x(72+x) = 42(22+x)+x(22+x)
864+12x+72x+x^2=924+42x+22x+x^2
864+84x=924+64x
84x-64x=924-864
20x=60
x= 3
hope it helps you!!!!
if you have any doubts , pls let me know in the comments
mark it as brainliest ans pls !!!
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