Question

the sum of two numbers is 2154 . if one of them is half the other find the number​

Answer 1

$\tt{Let \: \: one \: \: number \: \: to \: \: be \: \: found \: \: be \: \: 'x'.}$

$\tt{The \: \: other \: \: number \: \: would \: \: be \: \: \frac{x}{2} }.$

$\tt{Sum \: \: of \: \: the \: \: numbers \: \: = \: x + \frac{x}{2} = 2154}$

$\mathtt{x + \frac{x}{2} = 2154} \\ \\ \tt \frac{2x + x}{2} = 2154 \\ \\ \tt \frac{3x}{2} = 2154 \\ \\ \tt3x = 2154 \times 2 \\ \\ \tt3x = 4308 \\ \\ \tt{x = \frac{4308}{3} } \\ \\ \underline{ \underline{\tt{ \: \: x = 1436 \: \: }}}$

$\tt{The~ other~number = \frac{x}{2} = \frac{1436}{2} } \\ \\ \tt = \boxed{ 718}$

$\\ \\ \\ \\ \color{purple}{ \bf{Hope \: \: this \: \: helps \: \: you \: !}}$

Answer 2

$\huge \star \:  \bf \underbrace {ANSWER} \: \star$

‣ Given :

→ $\textsf {The sum of two numbers is 2154}$

→ $\textsf {One of the number is half the other}$

‣ To Find :

$\textsf {The numbers}$

‣ Solution :

$\textsf {Let the one number be x}$

$\textsf {Then, the other number would be} \: \sf {\frac {x} {2}}$

$\textsf {Now,}$

$\sf {x + \frac {x} {2} = 2154}$

$\sf {\frac {2x + x} {2} = 2154}$

$\sf {\frac {3x}{2} = 2154}$

$\sf {3x = 2154 × 2}$

$\sf {3x = 4308}$

$\sf {x = \frac {4308}{3}}$

$\sf {x = 1436}$

$\textsf {Now, we can find the numbers :}$

→ $\textsf {1st number = x = 1436}$

→ $\sf {2nd \: number \: = \: \frac{x} {2} \: = \: \frac {1436}{2} \: = \: 718}$

$\implies$ Hence, the 1st number is 1436 and 2nd number is 718 and their sum is 2154.

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