SOLUTION: Mary grace is 25yrs younger than her mother. In 4yrs her mother will be twice as old at marygrace. how old are they now?

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Question 1089269: Mary grace is 25yrs younger than her mother. In 4yrs her mother will be twice as old at marygrace. how old are they now?
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Mary Grace's age now
Let +b+ = her mother's age now
------------------------------------
(1) +a+=+b+-+25+
(2) +b+%2B+4+=+2%2A%28+a+%2B+4+%29+
------------------------------------
(2) +b+%2B+4+=+2a+%2B+8+
(2) +b+-+2a+=+4+
and
(1) +b+-+a+=+25+
--------------------------
Subtract (2) from (1)
(1) +b+-+a+=+25+
(2) +-b+%2B+2a+=+-4+
----------------------
+a+=+21+
and
(1) +b+-+a+=+25+
(1) +b+-+21+=+25+
(1) +b+=+46+
----------------------
Mary Grace is 21
Her mother is 46
----------------------
check:
Mary Grace is 25 years younger -TRUE
In 4 years her mother will be 50
In 4 years Mary Grace will be 25
Mother will be twice as old -TRUE

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

Mary grace is 25yrs younger than her mother. In 4yrs her mother will be twice as old at marygrace. how old are they now?
In 4 years, daughter will be 25 and mother: 50 years-old
Current ages: