Answer:
d = 12.5
m = 24.5
Step-by-step explanation:
m = mother
d = daughter
m + d = 37
(m - 2) = (d) + 10
m = d + 12
d + 12 + d = 37
2d = 25
d = 12.5
m = 24.5
Answer:
The system of equations is
M + D = 37
M - D = 10
where M = mother's current age, D = daughter's current age
The solution results in M = 47/2 and D = 27/2
Step-by-step explanation:
Let age of mother be M, age of daughter be D
Now their combined ages = 37
Therefore
M + D = 37
2 years ago, mother and daughter were 2 years younger i.e. M-2 and D-2 ages
Given M-2 = 10 + (D-2)
we get
M - 2 = 10 + d - 2
M - 2 = D + 8
M = D + 8 + 2
M = D + 10
M - D = 10
We have two equations:
M + D = 37
M - D = 10
Adding these two equations together -D and +D cancel out giving
M + M = 37 + 10
2M = 47
M = 47/2
D = 37-47/2 = 74/2 - 47/2 = 27/2
