Question

when a number is increased in the ratio 15:22,it becomes 330.find the no.

Answer 1

$\bf{Heya!!}$

$\bf{Here \ is \ your \ answer \ : -}$

Given,

A number is increased in the ratio 15:22

New number = 330

To find,

The original no.

Main solution :

Let the original no. be 15x and new no. be 22x ¥

We know the new number formed is 330. €

So, from ¥ and € we get : -

22x = 330

This is a linear equation in one variable.

Let's solve this linear equation for x using transposition.

Here are the steps : -

${22x = 330}$

Dividing both L.H.S. and R.H.S. by 22

${22x/22 = 330/22}$

We get :

${x = 15.}$

Now, we know that we have assumed original number as 15x .

By substituting the value of x in the assumed value to find the exact value of the original number.

${15x = 15 × 15 = 225}$

So, the required no. is $\bf{225.}$

$\boxed{Hope \ it \ helps \ you. \ :)}$