SOLUTION: ratio of A's age to B's age is equal to 4 :3. A will be 26 years old after 6 years how old is B now? solve

Question 694484: ratio of A's age to B's age is equal to 4 :3. A will be 26 years old after 6 years how old is B now? solve
Answer by RedemptiveMath(80) (Show Source): You can put this solution on YOUR website!
In these problems, we need to focus on two important things: The present age must go with present work and the future age must go with future work. That is, we need to know what we're dealing with when working with these problems. We need to know B's age currently, but it gives us information about the future (A's age will be...). When we operate on the equations we are going to use, we need to make sure we know if we're talking about the future or present. It would be advantageous to try to stick to one time as much as we can. That is, it would be of great help to rewrite all terms in the present mindset or future mindset. In this problem we'll stick with the present method.
In this problem, we have the ratio of ages 4:3 (currently?) and the future age of person A. If 4:3 is given presently, then all we would need to do is find one of the present ages. We can certainly find A's current age:

26 - 6 = 20 years.

Since this problem gives A's future age to be 26 (in 6 years), his current age is 20. Now we can solve using proportions (letting x equal B's age):

4/3 = 20/x
60 = 4x
x = 15 years.

Remember that 4:3 is equivalent to saying 4/3. We have found B's age to be of 15 years. This age is in the present. Notice how the work above has all of its pieces in the present. (The ratio and A's age are given in the present, so we can find B's age in the present).

RELATED QUESTIONS
ratio off A'S age to B's age is equal to 4:3. A will be 26 years old after 6 years. how... (answered by josmiceli)

Ratio of Anthony age to Eze age is 4 : 3. Anthony will be 26 years old after 6 years. How (answered by Theo,MathTherapy)

The ratio of a boy�s age to his father�s age is 1 : 4. In 4 years� time, the ratio of... (answered by mananth,josmiceli)

Eight years ago the sum of ages A and B is equal to 26. Five years from now, B's age will (answered by JulietG)

Tommy’s age is 2/3 Ben’s age now. In 8 years time, the ratio of Tommy’s age to... (answered by math_tutor2020,mananth,josgarithmetic)

The ratio of Kawika’s age to Tony’s age is 3:4. Two years ago, their average age was... (answered by MathLover1,Alan3354,MathTherapy)

The ratio of Gene's age to Sherry's age is 5: 8. Five years later, the ratio of Gina's... (answered by josgarithmetic)

1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as old as his... (answered by richwmiller)

A is 27 years old. B is one third older. How many years ago was the ratio of A's age... (answered by checkley79)