Question 184011
Let {{{j}}}= Jenson's age
Let {{{u}}}= his Uncle's age
given:
(1) {{{j - (1/4)*j - (1/5)*j = 22}}}
(2) {{{j = (4/5)*u}}}
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(1) {{{j - (1/4)*j - (1/5)*j = 22}}}
Multiply both sides by {{{20}}}
(1) {{{20j - 5j - 4j = 440}}}
(1) {{{20j - 5j - 4j = 440}}}
(1) {{{11j = 440}}}
(1) {{{j = 40}}}
and
(2) {{{j = (4/5)*u}}}
(2) {{{40 = (4/5)*u}}}
Multiply both sides by {{{5}}}
(2) {{{200 = 4u}}}
(2) {{{u = 50}}}
Jenson is 40 and his Uncle is 50