Three numbers A, B and C are in the ratio 7: 2: 4. The sum of the three numbers is 104. What is the number C?

C = 32

Step-by-step explanation:

The numbers are in the ratio 7 : 2 : 4 = 7x : 2x : 4x ( x is a multiplier ) , then

7x + 2x + 4x = 104

13x = 104 ( divide both sides by 13 )

x = 8

Thus C = 4x = 4 × 8 = 32

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584