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दो धनात्मक संख्याओं का अनुपात `3:4` है। उनके वर्गों का योग 400 है। संख्याओं का योग कितना है?
A. 28
B. 22
C. 22
D. 24

1 Answer

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Best answer
Correct Answer - A
Let number be `x` and `y`
`x/y=3/4`
`x=3/4y`…………….i
`x^(2)+y^(2)=400`
`9/16y^(2)+y^(2)=400`………….from eq. (i)
`9y^(2)+16y^(2)=400xx16`
`25y^(2)=400xx16`
`y^(2)=400/25xx16`
`y^(2)=16xx16`
`y=16`
`x=3/4xx16`
`x=12`
sumof no. `16+12=28`

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