Question 1205277
m = mike's age now.
g = his grandmother's age now.
your equations are:
m + g = 68
g + 2 = 5 * (m + 2)
simplify the second equation to get:
g + 2 = 5m + 10
solve for g to get:
g = 5m + 8
your two equations are now:
m + g = 68
g = 5m + 8
solve for g in the first equation to get:
g = 68 - m
your two equations are now:
g = 68 - m
g = 5m + 8
since g = g, then 68 - m must be equal to 5m + 8
your equation to solve is:
68 - m = 5m + 8
solve for m to get:
6m = 60
m = 10
since m + g = 68, then g must be equal to 58.
you now have:
m = 10
g = 58
g + m = 68 becomes 68 = 68 which is true.
g + 2 = 5 * (m + 2) becomes 60 = 5 * 12 which becomes 60- = 60 which is true.
the problem is satisfied when g = 58 and m = 10
your solution is that mike is now 10 years old.
in 2 years he will be 12.
in 2 years, his grandmother will be 60 which is equal to 5 * 12.