Question

The number 114 is divided into 2 parts in the ratio 7:12. Find the absolute difference between the 2 parts

Answer 1

Step-by-step explanation:

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

Let the ratio of the division of 114 be 7x and

12x respectively.

So to find the difference between those 2

numbers, we will first have to find the value of

those 2 numbers.

According to The Question,

$\tt{ 7x+ 12x = 114 }$

$\implies \tt{19x=114}$

$\implies \tt{ x = \dfrac{\cancel{114}}{\cancel{19}}}$

$\implies {\boxed{\tt{x=6}}}$

$\tt{Value \ of \ 7x = 7(6)=42.}$

$\tt{Value \ of \ 12x=12(6)=72.}$

$\tt{Absolute \ difference\ between\ the\ 2\ parts }$

$\implies \sf{12x-7x}$

$\implies \tt{72-42}$

$\sf \implies {30}$

So the difference between the two parts is 30.

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Answer 2

Answer:

let the number be x

7x + 12x = 114

19x = 114

x = 6

so , difference = 12*6 - 7*6

     = 72 - 42

     = 30

Step-by-step explanation:

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