Question

if three times of a number is greater than 3/5 th of it by 60,what is the number?​

Answer 1

QUESTION

If three times of a number is greater than 3/5 th of it by 60,what is the number?

ANSWER

Let the number be x

According to the question,

$\tt \: 3x - \frac{3}{5}x = 60$

Let's Calculate!

$\rm \: 3x - \frac{3}{5}x = 60$

$\leadsto \: \rm \: 3x - \frac{3}{5}x = 60$

$\leadsto \: \rm \frac{15x - 3x}{5} = 60$

$\leadsto \: \rm \frac{12x}{5} = 60$

$\leadsto \: \rm 12x = 60 \times 5$

$\leadsto \: \rm x = \frac{60 \times 5 }{12}$

$\leadsto \: \rm x = \frac{ \cancel{60} ^{5} \times 5 }{ \cancel{12}}$

$\leadsto \: \rm x = 5\times 5$

$\leadsto \: \rm x = 25$

Verification:-

Substituting the value of x

$\rm \: \: \: \ \: \: \: LHS \downarrow \: \: \: \: \: \: \: \: \: \: RHS\downarrow$

$\rm \: 3(25) - \frac{3}{5}(25) = 60$

$\mapsto \rm \: 3(25) - \frac{3}{ \cancel5}( \cancel{25}) = 60$

$\mapsto \rm \: 75 - 15= 60$

$\mapsto \rm 60= 60$

$\therefore \rm LHS \: = RHS$

Answer 2

★ Question :

If three times of a number is greater than 3/5 th of it by 60,what is the number?

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★ Solution :

Let the number be x

According to the question,

$\pmb {\sf { \to {\: 3x - \dfrac{3}{5}x = 60}}}$

$\implies \: \sf {\dfrac{15x - 3x}{5} = 60}$

$\implies \sf { \dfrac{12x}{5} = 60}$

$\implies \sf {12x = 60 \times 5}$

$\implies \sf { x = \dfrac{60 \times 5 }{12}}$

$\implies \sf { x = \dfrac{ \cancel{60} ^{5} \times 5 }{ \cancel{12}}}$

$\implies \sf {x = 5\times 5 }$

$\implies {\pmb {\sf {\pink {x = 25 }}}}$