100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 7

7 of 100: XX YY ZZ

Algebra Level 2

XXYY+ZZXYZ \begin{array} {ccccc} \huge & & & & \huge \color{#69047E}{X}& \huge \color{#69047E}{X}\\ \huge & & & & \huge \color{#D61F06}{Y}& \huge \color{#D61F06}{Y}\\ \huge + & & & & \huge \color{#3D99F6}{Z}& \huge \color{#3D99F6}{Z}\\ \hline \huge& & & \huge \color{#69047E}{X} & \huge \color{#D61F06}{Y} & \huge \color{#3D99F6}{Z} \end{array}

If each letter represents a different nonzero digit, what must Z\large \color{#3D99F6}{Z} be?

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