SOLUTION: 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?

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.
Answer by MathTherapy(10552) (Show Source): 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)
RELATED QUESTIONS
Eva is 6 years older than his brother, Elvin. In 4 years, Eva will be 26 more than 1/2 of (answered by ankor@dixie-net.com)
Eva is six years older than Elvin. In four years, Eva will be 26 (twenty-six) more than... (answered by ankor@dixie-net.com)
Eva is 6 years older than her brother. In 4 years, Eva will be 26 more than the half of... (answered by mananth)
Bella is as much older than ella as ella is older than eva.six year ago bella's age was... (answered by Edwin McCravy)
Elvin is 2 more than three times older than his daughter, Ezra. In 16 years, he will be... (answered by MathLover1,greenestamps)
Eva is 10 years older than Dan. in 8 years, twice Eva's age will equal 3 times Dan's age. (answered by stanbon)
Eva is 10 years older than Feni. In 8 years, twice Eva's age will equal to three times... (answered by Maths68)
Eva is 10 years older than Femi. In 8 years, twice Eva's age will equal 3 times Femi's... (answered by sofiyac)
1. rose is 6yrs older than her sister in four years she will be nine years more than one... (answered by ankor@dixie-net.com)