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Of the three numbers, the sum of the first two is $45$; the sum of the second and third is $55$ and the sum of the third and thrice the first is $90$. The third number is :

- $20$
- $25$
- $30$
- $35$

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$\textrm{Let the first number is x, the second number is y & the third number is z}$

$\textrm{According 2 the question}$

$x+y=45 ...(1)$

$y+z=55 ...(2)$

$z+3x=90...(3)$

$\textrm{from(1)&(2)}$

$x-z=-10...(4)$

$\textrm{from(3)&(4)}$

$x=20$

$\textrm{from(1)}$

$y=25$

$\textrm{from(3)}$

$z=30$

$\textrm{Option C}$

$\textrm{According 2 the question}$

$x+y=45 ...(1)$

$y+z=55 ...(2)$

$z+3x=90...(3)$

$\textrm{from(1)&(2)}$

$x-z=-10...(4)$

$\textrm{from(3)&(4)}$

$x=20$

$\textrm{from(1)}$

$y=25$

$\textrm{from(3)}$

$z=30$

$\textrm{Option C}$

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