SOLUTION: Could you please help with this problem? The present ages of a husband and wife are in the ratio of seven to six, and five years ago the ratio was six to five. Find their ages n

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Question 947470: Could you please help with this problem?
The present ages of a husband and wife are in the ratio of seven to six, and five years ago the ratio was six to five. Find their ages now.
I got this formula, but I think I'm incorrect:

this gives me an answer of , but I don't think it's right.
Found 3 solutions by Alan3354, MathLover1, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The present ages of a husband and wife are in the ratio of seven to six, and five years ago the ratio was six to five. Find their ages now.
I got this formula, but I think I'm incorrect:

this gives me an answer of , but I don't think it's right.
-----------------
You didn't find their ages.
----
H/W = 7/6
(H-5)/(W-5) = 6/5
-----
H/W = 7/6 --> H = 7W/6
Sub for H in the 2nd eqn
(H-5)/(W-5) = 6/5
((7W/6)-5)/(W-5) = 6/5
((7W/6)-5)*5 = (W-5)*6 = 6W-30
35W/6 - 25 = 6W-30
35W - 150 = 36W - 180
W = 30
H = 35
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

let the present ages of a husband be and of a wife
The present ages of a husband and wife are in the ratio of seven to six,
............eq.1
and five years ago the ratio was six to five.
............eq.2
to find their ages now, solve this system:
............eq.1
............eq.2
-------------------------------------
start with ............eq.1 and solve for

....substitute in eq.2
............eq.2..solve for

cross multiply







or
now find





so, the present ages of a husband and wife are:
a husband is
a wife is
check the ratio: => => true
five years ago a husband was and wife
check the ratio: => => true

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Could you please help with this problem?
The present ages of a husband and wife are in the ratio of seven to six, and five years ago the ratio was six to five. Find their ages now.
I got this formula, but I think I'm incorrect:

this gives me an answer of , but I don't think it's right. 
Current ratio of husband's to wife's age: 7:6

Let multiplicative factor be x

Then husband’s current age is: 7x and the wife’s is: 6x

Five years ago, husband was: 7x – 5, and wife was: 6x – 5

We then get:  ------ Ratio, 5 years ago was 

6(6x – 5) = 5(7x – 5) -------- Cross-multiplying

36x – 30 = 35x – 25

36x – 35x = - 25 + 30

x, or multiplicative factor = 5



Husband’s current age: 7(5), or 

Wife’s current age: 6(5), or  

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