# Individually divisible?

I have chosen four integers ${\color{#D61F06}a}, {\color{#3D99F6}b}, {\color{#20A900}c},$ and ${\color{#69047E}d}$ so that all five of the following sums are values divisible by 3:

• ${\color{#D61F06}a}+{\color{#3D99F6}b}+{\color{#20A900}c}$
• ${\color{#D61F06}a}+{\color{#3D99F6}b}+{\color{#69047E}d}$
• ${\color{#D61F06}a}+{\color{#20A900}c}+{\color{#69047E}d}$
• ${\color{#3D99F6}b}+{\color{#20A900}c}+{\color{#69047E}d}$
• ${\color{#D61F06}a} + {\color{#333333}0}+{\color{#333333}0}.$

Are ${\color{#3D99F6}b},$ ${\color{#20A900}c},$ and ${\color{#69047E}d}$ also guaranteed to be divisible by 3?

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