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5 by 4 times a number …

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5 by 4 times a number is 10 more than the number find the number
  • 1 answers

Rajan Kumar Pasi 4 years, 5 months ago

Q. {tex}\LARGE { \frac{5}{4}}{/tex} times a number is 10 more than the number. Find the number?
Sol. =

Covert the statement step by step into a mathematical expression.
=>           Let the unknown number be, x
=>           {tex}\LARGE { \frac{5}{4}}{/tex} times a number = {tex}\LARGE { \frac{5}{4}\times x}{/tex}

=>           10 more than the number = {tex}\LARGE {10 + x}{/tex}   
=>    Therefore, {tex}\LARGE { \frac{5}{4}\times x}{/tex}{tex}\LARGE { = 10 + x}{/tex}


  {tex}\huge {=> 5\times x = 4\times (10+x)}\\ \huge{=> 5 x= 40+4x }\\ \huge{=> 5 x-4x= 40 }\\ \huge{=> x= 40 }\\{/tex}
Final answer, x = 40.

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