Question 257380: Eva is 6 years older than his brother, Elvin. In 4 years, Eva will be 26 more than one-half of Elvin's age. How old are they now? Found 2 solutions by drk, MathTherapy:Answer by drk(1908) (Show Source):
You can put this solution on YOUR website! Let eva = E and elvin, brother, = B.
we have the following equations based on the given information:
(i) E = B + 6
(ii) E + 4 = (1/2)B + 26
multiply (ii) by 2 to get
(iii) 2E + 8 = B + 52
Substitute (i) into (iii) to get
(iv) 2(B + 6) + 8 = B + 52
simplify to get
2B + 12 + 8 = B + 52
B = 32.
E = 38.
You can put this solution on YOUR website! Eva is 6 years older than his brother, Elvin. In 4 years, Eva will be 26 more than one-half of Elvin's age. How old are they now?
Let Elvin's age be
Then Eva's age is
In 4 year's time, Eva will be , and Elvin will be
Since in 4 year's time, Eva will be 26 more than one-half of Elvin's age, then we'll have:
------ Multiplying both sides of equation by LCD, 2
Therefore, , or Elvin's age is and Eva's age is (36 + 6)
(
