Question

the price of a book and pen together is 63 rupees the price of a book and 5 pens is 75 rupees what is the price of each
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Answer 1

Answer:

book= y

pen = x

solution,

y + x = 63. y+5x=75

transposing method

(y-y) + (5x-x) = 75-63

4x = 12

x = 12/4

x = 3

Cost of 1 pen is ₹3

to find cost of book we will simply use algebra

1 equation = 1 book + 1 pen = 63

y+x = 63

y+3 (x =3) = 63

y = 63-3

y=60

If you want to check you can also solve 2 equation

2 equation= 1 book + 5 pen

= y + 5x

= y +(5×3) = 75

= y + 15 = 75

= y = 75-15

y = 60

Answer 2

Answer :-

Let price of a book = Rs x .

Price of a pen = Rs. y .

so,

→ x + y = Rs.63 ------------- Eqn.(1)

→ x + 5y = Rs.75 --------- Eqn.(2)

subtracting Eqn.(1) from Eqn.(2)

→ (x + 5y) - (x + y) = 75 - 63

→ 4y = 12

→ y = Rs.3

then,

→ Price of a book = 63 - y = Rs.60 (Ans.)

→ Price of a pan = y = Rs.3 (Ans.)

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