![\bf a-b=2\frac{4}{8}\implies a-b=2\frac{1}{2}\implies a-b=\cfrac{2\cdot 2+1}{2}\implies a-b=\cfrac{5}{2} \\\\[-0.35em] ~\dotfill\\\\ a+b=\cfrac{15}{2}\implies \boxed{b}=\cfrac{15}{2}-a \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{if we do some substitution on the 2nd equation}}{a-b=\cfrac{5}{2}\implies a-\left( \boxed{\cfrac{29}{4}-a} \right)=\cfrac{5}{2}}\implies a-\cfrac{29}{4}+a=\cfrac{5}{2}](/tpl/images/0527/6443/78e90.png)
![\bf 2a-\cfrac{29}{4}=\cfrac{5}{2}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( 2a-\cfrac{29}{4} \right)=4\left( \cfrac{5}{2} \right)} \implies 8a-29=10 \\\\\\ 8a=39\implies a=\cfrac{39}{8}\implies \blacktriangleright a = 4\frac{7}{8} \blacktriangleleft \\\\[-0.35em] ~\dotfill](/tpl/images/0527/6443/2860e.png)
Find two mixed numbers so that the
sum is 7 2/8 and the difference is 2 4/8....
Mathematics, 28.02.2020 03:26 derisepicowe0fa
Find two mixed numbers so that the
sum is 7 2/8 and the difference is 2 4/8.
Answers: 1
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