Question

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

Answer 1

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

Explanation:

Let the number be 'x'

`\sf{ (3)/(5 ) \: \: of \: x \: = 162}`

⇒
`\sf{ (3x)/(5) = 162}`

Apply cross product property

⇒
`\sf{3x = 162 * 5}`

Multiply the numbers

⇒
`\sf{3x = 810}`

Divide both sides of the equation by 3

⇒
`\sf{ (3x)/(3) = (810)/(3) }`

Calculate

⇒
`\sf{x = 270}`

Hope I helped!

Best regards!!

Answer 2

The number is 270

Explanation:

Let the number be 'x'

3/5 of x = 162

`(3)/(5)*x = 162\\\\x=162*(5)/(3)\\\\x=54 * 5\\\\x = 270`