Question 698134
{{{(10+X)/(30+X) = 1/2}}}
Multiply both sides by 2
{{{2*(10+X)/(30+X) = 1}}}
Multiply both sides by (30+X)
{{{2*(10+X) = 30 + X}}}
Simplify
{{{20 + 2X = 30 + X}}}
Subtract 20 from both sides
{{{2X = 10 + X}}}
Subtract X from both sides
{{{highlight(X = 10)}}}
In 10 years Tom will be half of his mothers age.