Question 262251
Let A = Age or Renee
Let B = Age of the mom
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Equation 1: {{{B = A + 24}}}
Equation 2: {{{A + B = 54}}}
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Solution:
Replace B in equation 2 with (A + 24)
Equation 2: {{{A + B = 54}}}
{{{A + (A + 24) = 54}}}
Simplify
{{{2A + 24 = 54}}}
Subtract 54 from both sides
{{{2A = 30}}}
Divide both sides by 2
{{{highlight(A = 15)}}}
Now plug 15 into equation 1 for A
Equation 1: {{{B = A + 24}}}
{{{B = 15 + 24}}}
Combine like terms
{{{highlight(B = 39)}}}
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You can check the answer by placing your values back into equation 2
Equation 2: {{{A + B = 54}}}
{{{15 + 39 = 54}}}
{{{highlight(54 = 54)}}}