Question

swetha thinks of a number . if she takes away 7 from 5/2 of the number , the result is 23​

Answer 1

let the number be $x$

equation formed is

$\frac{5}{2} x -7=23$

$\frac{5}{2} x=23+7 (transposition)$

$\frac{5}{2}x=30$

$x=\frac{2}{5}$ $*30$

$x= 6*2$

$x=12$

therefore swetha thought of the number 12

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Answer 2

Question:-

swetha thinks of a number . if she takes away 7 from 5/2 of the number , the result is 23

Answer:-

• The number she thinks is 12.

To find:-

• Number Swetha thinks

Solution:-

• Result = 23

Let,

• The number she thinks = x

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \frac{5}{2} \times x - 7 = 23}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \frac{5}{2} \times x = 23 + 7}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \frac{5}{2} \times x = 30}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = 30 \times \frac{2}{5} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = 6 \times 2}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: x = 12}$

Hence,

The number she thinks is 12.