correct answer is: b) 954 & 318

Explanation

The sum of two numbers is 1272 .
Let, Greater number is ‘x’
Smaller number is ‘y’
In 1 ^st case,
\left(x+y\right)=1272
\rightarrow x=\left(1272-y\right)
In 2 ^nd case,
x=3y
According to the question,
3y=\left(1272-y\right)
\rightarrow3y+y=1272 _{[interchange]}
\rightarrow 4y=1272
\rightarrow y=\large\frac{1272}{4}
\therefore y=318
\therefore x=\left(3\times318\right) _{[from 2^nd case]}
\rightarrow x=954
\therefore Greater number is 954 and smaller number is 318 .
Ans: The numbers are 954 & 318.

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