Question 147671
Man's age is M.
Brother's age is B.
1.{{{M+B=164}}}
46 years ago the man's age was M-46.
46 years ago his brother age was B-46.
2.{{{M-46=7(B-46)}}}
We can use eq. 1 to solve for M in terms of B.
Then substitute this into eq. 2.
1.{{{M+B=164}}}
{{{M=164-B}}}
Now substitute. 
2.{{{M-46=7(B-46)}}}
{{{(164-B)-46=7(B-46)}}}
{{{118-B=7B-322}}}
{{{-8B=-440}}}
{{{B=55}}}
Then from eq. 1,
{{{M=164-B}}}
{{{M=164-55}}}
{{{M=109}}}
The man is 109 years old and his brother is 55.