The sum of their ages. is 97. The difference of their ages is 19. Find their ages.

3 answers

x+y=97
x-y=19

add them up:
2x = 116
x = 58

sub that into the first equation to find y
39
B+L=97
B-L=19
the L cancel out, add the b together to get 2b
add 97 and 19 together
2b=116
divide both side by 2
b=58
plug 58 in any two equation for b
58+y=97
minus 58 from both sides
y=39