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Divide 32 into four parts which are in A...

Divide 32 into four parts which are in A.P. such that the product of extremes is to the product of means is 7:15.

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Let the four parts be `(a−3d),(a−d),(a+d) and (a+3d). `
Then, Sum of the numbers `=32`
`⟹(a−3d)+(a−d)+(a+d)+(a+3d)=32`
`⟹4a=32`
...
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