Let's assume Rafaela's age 6 years ago as R, and Leticia's age 6 years ago as L.
According to the given information, the ratio of their ages 6 years ago was 3:4.
So, we can write the equation: R/L = 3/4......(Equation 1)
After 4 years, Rafaela's age will be R+4, and Leticia's age will be L+4.
According to the second ratio, the relationship of their ages after 4 years is 11:13.
So, we can write the equation for that: (R+4)/(L+4) = 11/13.......(Equation 2)
To solve these two equations simultaneously, we can multiply equation 1 by (13L) and equation 2 by (4L).
Equation 1 becomes: 13R = 9L.......(Equation 3)
Equation 2 becomes: 44R + 52 = 52L + 48.......(Equation 4)
Now, we can substitute the value of R from equation 3 into equation 4:
44(9L/13) + 52 = 52L + 48
396L/13 + 52 = 52L + 48
396L + 676 = 676L + 624
280L = 52
L = 52/280
L = 0.1857
Therefore, Leticia's current age is 0.1857 * 100 = 18.57 years.
Approximately, Leticia's current age is 19 years.
Six years ago the ratio of Rafaela and Leticia's ages was 3 is to 4, if in 4 years their ages in the relationship will be like 11 is to 13. What is Leticia's current age?
1 answer