Question

two numbers are in ratio 8 : 3. if the sum of the numbers is 143, find the numbers.

Answer 1

Let the two numbers be x
$8x + 3x = 143 \\ 11x = 143 \\ x = 143 \div 11 \\ x = 13$, Now multiply 13×3=39,13×8=104
Now your answer is 104 and 39.

Answer 2

Let the 2 numbers be a and b.

Ratio: a/b=8/3

Sum:a+b=143

From ratio,

a=8b/3

Now sum: 8b/3+b=143

11b/3=143

11b= 429

b=39

substitute b in sum

a+39= 143

a= 104

Therefore a=104 & b=39