Question

3/5 of a number is 162. Work out the number. How do I do this AQA question?

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{270}}}}}$

Step-by-step explanation:

Let the number be 'x'

$\sf{ \frac{3}{5 } \: \: of \: x \: = 162}$

⇒$\sf{ \frac{3x}{5} = 162}$

Apply cross product property

⇒$\sf{3x = 162 \times 5}$

Multiply the numbers

⇒$\sf{3x = 810}$

Divide both sides of the equation by 3

⇒$\sf{ \frac{3x}{3} = \frac{810}{3} }$

Calculate

⇒$\sf{x = 270}$

Hope I helped!

Best regards!!

Answer 2

Answer:

The number is 270

Step-by-step explanation:

Let the number be 'x'

3/5 of x = 162

$\frac{3}{5}*x = 162\\\\x=162*\frac{5}{3}\\\\x=54 * 5\\\\x = 270$