Question

Divide 104 into 2 parts so that one part is 3/5of the other

Answer 1

Question :

Divide 104 into 2 parts so that one part is ⅗ of the other .

Answer :

• $\sf\red{quantity\:to\:be\: divided\:is\:104}$

• $\sf\red{let\:the\:other\:part\:be\:"x"}$

• $\sf\red{therefore\:the\:other\:is\: \dfrac{3}{5}\times x}$

Equation Formed:

$\longrightarrow\sf\purple{ x + \dfrac{3}{5}\times x = 104}$

$\longrightarrow\sf\purple{ x + \dfrac{3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{x\times 5}{1\times 5} + \dfrac{3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{5x}{5} + \dfrac{3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{5x + 3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{8x}{5} = 104}$

$\longrightarrow\sf\purple{8x = 104\times 5}$

$\longrightarrow\sf\purple{8x = 520 }$

$\longrightarrow\sf\purple{x = \dfrac{520}{8} }$

$\longrightarrow\sf\purple{x = 65}$

• $\sf\red{Therefore\:one\:part\:is\: 65 .}$

• $\sf\red{other\:part\:is\:\dfrac{3}{5}\:of \:x }$

$\longrightarrow\sf\green{\dfrac{3}{5}\times 65}$

$\longrightarrow\sf\green{3\times 13}$

$\longrightarrow\sf\green{39}$

• $\sf\red{Therefore\:the\:other\: number\:is\:39 .}$

$\huge\sf\pink{@SparklingSparkles}$

Answer 2

$\huge\mathfrak\blue{Answer:-}$

$\sf\red{quantity\:to\:be\: divided\:is\:104}$

$\sf\red{let\:the\:other\:part\:be\:"x"}$

$\sf\red{therefore\:the\:other\:is\: \dfrac{3}{5}\times x}$

$\huge\mathfrak\blue{Equation Formed:-}$

$\longrightarrow\sf\purple{ x + \dfrac{3}{5}\times x = 104}$

$\longrightarrow\sf\purple{ x + \dfrac{3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{x\times 5}{1\times 5} + \dfrac{3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{5x}{5} + \dfrac{3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{5x + 3x}{5} = 104}$

$\longrightarrow\sf\purple{\dfrac{8x}{5} = 104}$

$\longrightarrow\sf\purple{8x = 104\times 5}$

$\longrightarrow\sf\purple{8x = 520 }$

$\longrightarrow\sf\purple{x = \dfrac{520}{8} }$

$\longrightarrow\sf\purple{x = 65}$

$\sf\red{Therefore\:one\:part\:is\: 65 .}$

$\sf\red{other\:part\:is\:\dfrac{3}{5}\:of \:x }$

$\longrightarrow\sf\green{\dfrac{3}{5}\times 65}$

$\longrightarrow\sf\green{3\times 13}$

$\longrightarrow\sf\green{39}$

$\sf\red{Therefore\:the\:other\: number\:is\:39 .}$

$\huge\sf\pink{@XxFearlessBandixX}$