Question

Which equation matches the statement below?

Three times the difference of a number "n" and five is sixteen more than double the number "r
O 3(5-n)=2n+16
O 3(n-5)=16+2n
3(n-5)=2n+16
3n-5=2n+16

Answer 1

3(n-5)=2n+16

Explanation:

3 lots of 'n' and 5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)

3(5 - n)

16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have

2n + 16

if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.

3(n-5) = 2n+16

:)