Question 763063
Let A = the Aunt's age
Let B = Mrs. West's age
Equation 1: {{{A = B + 14}}}
Equation 2: {{{A - 40 = 60 - B}}}
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Plug (B + 14) into equation 2 for A.
Equation 2: {{{A - 40 = 60 - B}}}
{{{(B+14) - 40 = 60 - B}}}
Combine like terms.
{{{B - 26 = 60 - B}}}
Add B to both sides.
{{{2B - 26 = 60}}}
Add 26 to both sides.
{{{2B = 86}}}
Divide both sides by 2.
{{{highlight(B = 43)}}}
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Now plug 43 into equation 1 for B.
Equation 1: {{{A = B + 14)))
{{{A = (43) + 14}}}
{{{highlight_green(A = 57)}}}