Question 247774
Let A = the age of Mrs. West
Let B = the age of the Aunt

Equation 1: {{{ B = A + 14}}}
Equation 2: {{{60 - A = B - 40}}}

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Solution:
Plug (A + 14) into equation 2 for B
Equation 2: {{{60 - A = B - 40}}}
{{{60 - A = (A + 14) - 40}}} Simplify
{{{60 - A = -26 + A}}} Add 26 from both sides
{{{60 - A + 26 = A}}} Add A to both sides
{{{60 + 26 = A + A}}}Simplify
{{{86 = 2A}}} Divide both sides by 2
{{{highlight(43 = A)}}}
Now plug 43 into equation 1 for A
Equation 1: {{{ B = A + 14}}}
{{{ B = 43 + 14}}}
{{{highlight(B = 57)}}}