Question

The cost of a book is rs5 more than a pen. The cost of a bag is rs7 more than a book if all three of them cost rs53 then the cost of each of them are

Answer 1

$\pink{\huge{SOLUTION:-}}$

Let cost of pen = x

According to the question

Cost of book = x + 5

Cost of bag = x + 5 + 7 = x + 12

The cost of all together is Rs.53

=> x + x + 5 + x + 12 = 53

=> 3x + 17 = 53

=> 3x = 53 - 17

=> 3x = 36

=> x = $\frac{36}{3}$

=> x = 12

Hence,

$\mathfrak{Cost\:of\:pen}$ = x = Rs.12

$\mathfrak{Cost\:of\:book}$ = x+5 = 12+5 = Rs.17

$\mathfrak{Cost\:of\:Bag}$ = x+12 = 12 + 12 = Rs. 24

VERIFICATION

12 + 17 + 24 = 53

29 + 24 = 53

53 = 53

Answer 2

$let \: the \: cost \: of \: a \: pen = x \\ \\ therefore \: cost \: of \: a \: book = x + 5 \\ \\ and \: cost \: of \: a \: bag = x + 5 + 7 = x + 12 \\ \\ according \: to \: question \\ \\ x + x + 5 + x + 12 = 53 \\ \\ = > 3x + 17 = 53 \\ \\ = > 3x = 53 - 17 \\ \\ = > x = \frac{36}{3 } \\ \\ = > x = 12 \\ \\ therefore \: cost \: of \: a \: pen \: = 12rupees \\ \\ cost \: of \: a \: book \: = x + 5 \\ = 12 + 5 = 17 \: rupees \\ \\ and \: cost \: of \: a \: bag \\ = x + 12 \\ = 12 + 12 \\ = 24 \: rupees$
hope it helps....