Question 261267
Let {{{w}}} = William's age now
Let {{{r}}} = Robert's age now
In {{{2}}} years, William's age will be
{{{w + 2}}}
In {{{2}}} years, Robert's's age will be
{{{r + 2}}}
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given:
(1) {{{w = r + 6}}}
(2) {{{w + 2 = 2*(r + 2)}}}
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Substitute (1) in (2)
{{{r + 6 + 2 = 2*(r + 2)}}}
{{{r + 8 = 2r + 4}}}
{{{r = 8 - 4}}}
{{{r = 4}}}
And, since
{{{w = r + 6}}}
{{{w = 4 + 6}}}
{{{w = 10}}}
William is 10 and Robert is 4