irene is 2 years older than jesica. in 8 yrs, she will be four third as old as irene is now. how old are they?

Answer 1

I have assumed "she" ("in 8 yrs, she will be...") refers to Jessica.

i = j + 2
j + 8 = 4/3i

i + 6 = j + 8 = 4/3i
i + 6 = 4/3i
6 = 1/3i
i = 18
j = i - 2 = 16

Irene is 18
Jessica is 16

(in 8 years, Jessica will be 24 which is 4/3 Irenes current age)

Answer 2

Ok, let's translate the problem into mathematical expressions:

Irene = 2+ Jessica (1)
Irene+8 = 4/3 Jessica (2)


Subs (1) into (2)

2 + Jessica + 8 = 4/3 Jessica

Jessica + 10 = 4/3 Jessica

Jessica (4/3-1) = 10

Jessica / 3 = 10

Jessica = 30

Now, solving for Irene,

Irene = Jessica + 2 = 32

Good luck!

Answer 3

Now,
I = J +2.......................(1)
After 8 years,
I + 8 = 4/3 (J+2)
Substitute the value of I from eqn (1)
J + 2 + 8 = 4/3 (J + 2)
J + 10 = 4/3 (J + 2)
To eliminate the fraction, multiply both LHS & RHS by 3
3J + 30 = 4J + 8
30 - 8 = 4J - 3J
22 = J
Now Jesica is 22 years old.
=====================
I = J + 2 = 22 + 2 = 24
Now Irene is 24 years old.
======================

Verification:
Now,
24 - 22 = 2
After 8 years,
Jessica= 30 & Irene = 32
30 = (4x 24) / 3 = 32 years
==================================

Answer 4

let a be the age of Irene now and b be the age of Jessica now.
Then,
Irene is 2 years older than Jessica:
a+2=b <=> a - b= -2 (1)
In 8 years, Jessica will be four third as old as Irene is now:
(b+8)=4/3 a <=> 4/3 *a -b =8 (2)

(2) -(1) gives us:
1/3a = 10 <=> a=30. => b=32.

Answer 5

Let a and b the ages now.

a = b + 2

b + 8 = 4a/3 = 4(b + 2)

3b + 24 = 4b + 8

b = 16

So, Irene is 18 and Jessica is 16. In 8 years Jessica will be 24 which is 4/3 of 18.

Answer 6

"hoping she refers to jesica"

let irene's age be x and of jesica be y then
from the first sentence
x=y+2
ie, y=x-2

after 8 years
x+8=4/3* (y+2)

x+8=4/3(x-2+2) (substituting the value of y by x)
x+8=4/3*x
ie

4x+32=3x
4x-3x=32
ie x=32

age of jesica 30
age of irene 32


;-)

Answer 7

x = Jesica's age, x + 2 = Irene's

Jesica's age:
x + 8 = 4/3(x + 2)
x + 8 = 4/3x + 8/3
4/3x - 3/3x = 24/3 - 8/3
1/3x = 16/3
x = 16

Irene's age:
= 16 + 2
= 18

Answer: Jesica is 16 while Irene is 18.

Proof:
16 + 8 = 4/3 * 18
24 = 72/3
24 = 24

Answer 8

Ehem,u say Irene is two years older than Jessica,maybe u,but then again u say 'she' will be 4/3 times older than Irene in 8 years time. How is this poshibible? Or wrong question given ah?Pls vote me best answer and you'll have 3 points yourself XD!