Question

please solve this question in step by step and this chapter name is linear equations in one variable OK please solve urgent and I give brainless marks

Answer 1

hope this will help you

Answer 2

$\huge\underline\mathrm{SOLUTION \:13):-}$

Let the digit in the unit's place be 'y' and digit in the ten's place be 'x'. Then,

 ➬  $\large\bf\red{x = 4y...1)}$

and,

 ✭ Number = 10x + y

⁂ Number obtained by reversing the digits = 10y + x

【Number + Number obtained by interchanging the digits = 110】

$\implies$$\rm{ (10x + y) + (10y + x) = 110}$

$\implies$$\rm{ 11x + 11y = 110}$

（Divide by 11 on both sides）

$\implies$$\large\bf\red{ x + y = 10...2)}$

☞Put the value of x in equation 2), we get

$\implies$ $\rm{4y + y = 10}$

$\implies$ $\rm{5y = 10}$

$\implies$ $\rm{y = \cancel\dfrac{10}{5}}$

➺ $\large\bf\red{ y = 2}$

☞Put the value of y in equation 1), we get

$\implies$ $\rm{x = 4 \times 2}$

➺ $\large\bf\red{x = 8}$

★ Number = 10x + y $\implies$ $\rm{10 \times 8+2}$

➣  $\large\bf\red{Number = 82}$

$\large\underline\mathrm{FINAL\:ANSWER:-}$

$\huge{\boxed{\boxed{\bf{\red{Number = 82}}}}}$

$\huge\underline\mathrm{SOLUTION \:14):-}$

『Let the larger side be x m

and,

smaller be 3x - 4 m』 

 ✪ $\bf\red{Perimeter \:of \:Triangle = (Side + Side + Side)}$

☞On putting the given values in the Formula, we get

$\implies$$\rm{x + (3x-4)+(3x-4) = 55}$

$\implies$ $\rm{x + 3x - 4 + 3x - 4 = 55}$

$\implies$ $\rm{7x -8 = 55}$

$\implies$ $\rm{7x = 55 + 8}$

$\implies$ $\rm{7x = 63}$

$\implies$ $\rm{x =\cancel\dfrac{ 63}{7}}$

➢ $\large\bf\red{ x = 9\:m}$

『Hence, the unequal side is 9 m』 

Equal side :-

$\implies$$\rm{(3x -4) = (3\times 9 - 4 )}$

$\rm{ 27 - 4}$

➢ $\large\bf\red{Equal\:Side = 23\:m}$

『The sides of triangle are 9m, 23m and 23m 』 

$\large\underline\mathrm{FINAL\:ANSWER:-}$

$\huge{\boxed{\boxed{\bf{\red{Equal\:Side = 23\: m}}}}}$

$\huge{\boxed{\boxed{\bf{\red{Unequal\:Side = 9\: m}}}}}$