Question

Jorksheel 2
The present ages of A and B are in the ratio 7:5. Ten years later, their ages will
be in the ratio 9:7. Find their present ages.
EMT​

Answer 1

Answer:

$\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}$

Given :

Length of wire is 18 cm .

Width of wire is 15 cm .

To Find :

Radius of circle if the same wire is bent in the form of a circle.

Solution :

Firstly we will find the Perimeter of Rectangle :

Using Formula :

$\longmapsto\tt\boxed{\sf{Perimeter\:of\:Rectangle=2(l+w)}}$

Putting Values :

$\longmapsto\tt{2(18+15)}$

$\longmapsto\tt{2(33)}$

$\longmapsto\tt\bf{66\:cm}$

Now ,

The same wire is bent in the form of a circle . So ,

Using Formula :

$\longmapsto\tt\boxed{\sf{Circumference\:of\:Circle=2\pi{r}}}$

Putting Values :

$\longmapsto\tt{66=2\times\dfrac{22}{7}\times{r}}$

$\longmapsto\tt{66\times{7}=44\times{r}}$

$\longmapsto\tt{462=44\:r}$

$\longmapsto\tt{r=\cancel\dfrac{462}{44}}$

$\longmapsto\tt\bf{r=10.5}$

So , The Radius of Circle is 10.5 cm .

Answer 2

Let A's age before 10 years =7x

B's age before 10 years =5x

A's age after 10 years =9x

B's age after 10 years =7x

then 7x-5x=9x-7x=10

=>2x=2x=10

=>x=5

So now A's age=9x=9×5=45yrs

B's age =7×5=35yrs

Hope it'll help you .

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