Question

Vinay spent rupees 60 for buying books and pens. on books he spent rupees 15 more than twice the amount that he spent on pens. find the amount he spent on pens and books​

Answer 1

15 for pens, and 45 for books

Answer 2

Given:

Vinay spent Rs. 60 for buying books and pens.

On books, he spent Rs. 15 more than twice the amount that he spent on pens

To find:

The amount he spent on pens and books​

Solution:

Let's assume,

"x" → represents the amount spent on books

"y" → represents the amount spent on pens

Total amount spent on buying books and pens = Rs. 60

So, we can write an equation as:

$x + y = 60$ ...... (i)

He spent Rs. 15 more than twice the amount, on books, that he spent on pens

So, we can write the equation as:

$x = 2y + 15$

$\implies x - 2y = 15$ ...... (ii)

Now, subtracting eq. (ii) from (i), we get

 x + y = 60

 x - 2y = 15

-    +        -

------------------

    3y = 45

-------------------

∴ y = $\frac{45}{3}$ = 15

Substituting the value of y = 15 in eq. (i), we get

$x + 15 = 60$

$\implies x = 60 -15$

$\implies \bold{x = 45}$

Thus, the amount he spent on books and pens are as follows:

$\boxed{\bold{Books\:\Rightarrow\:\underline{\bold{Rs.\:45}}}}\\\\\boxed{\bold{Pens\:\Rightarrow\:\underline{\bold{Rs.\:15}}}}$

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