Question 264997
Two numbers are in the ratio 3:7. 
Two fifths of their sum is 32.
 Find the numbers.
:
Let x = the multiplier
then
3x = one number
and
7x = the other number
:
"Two fifths of their sum is 32."
{{{2/5}}}(3x + 7x) = 32
:
{{{2/5}}}(10x) = 32
:
4x = 32
x = {{{32/4}}}
x = 8 is the multiplier
:
3(8) = 24 is one number
7(8) = 56 is the other number
;
:
Is this true?
{{{2/5}}}(24 + 56) = 
{{{2/5}}}(80) = 32, it is.