Question 695883
Let A = Jerry's current age
Let B = Hannah's current age
Equation 1: {{{A = 5B}}}
Equation 2: {{{A+2 = 3(B+2)}}}
Equation 3: {{{A+6 = 2(B+6)}}}
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Plug 5B into equation 2 for A
Equation 2: {{{A+2 = 3(B+2)}}}
{{{5B+2 = 3(B+2)}}}
Simplify
{{{5B + 2 = 3B + 6}}}
Subtract 3B from both sides
{{{2B + 2 = 6}}}
Subtract 2 from both sides
{{{2B = 4}}}
Divide both sides by 2
{{{highlight(B = 2)}}}
Now plug 2 into equation 1 for B
Equation 1: {{{A = 5B}}}
{{{A = 5*(2)}}}
{{{highlight_green(A = 10)}}}
So if Jerry is ten now then in 6 years he will be 16.