Question 1097676
the sum of two numbers is 21.3/4 of one of the numbers added to 2/3 of the other gives a sum of 15. Find the two numbers.
<pre>Let the number multiplied by {{{3/4}}}, be F
Then the number multiplied by {{{2/3}}} is: 21 – F
We then get: {{{matrix(1,3, (3/4)F + (2/3)(21 - F), "=", 15)}}}
{{{matrix(1,3, 3F/4 + 2(21 - F)/3, "=", 15)}}}
{{{matrix(1,3, 3F/4 + (42 - 2F)/3, "=", 15)}}}
9F + 168 – 8F = 180 -------- Multiplying by LCD, 12 
9F – 8F = 180 – 168
F, or number multiplied by {{{3/4}}} is: {{{highlight_green(12)}}}
Number multiplied by {{{2/3}}} is: {{{highlight_green(matrix(1,3, 21 - 12, "=", 9))}}}