Ratio three numbers

Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.

Result

S =  4
U =  8
V =  12

Solution:

S=1⋅241+2+3=4S = \dfrac{ 1 \cdot 24}{ 1+2+3} = 4
U=2⋅241+2+3=8U = \dfrac{ 2 \cdot 24}{ 1+2+3} = 8
V=3⋅241+2+3=12  4+8+12=24V = \dfrac{ 3 \cdot 24}{ 1+2+3} = 12 \ \\ \ \\ 4+8+12 = 24

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