Question

Heather is 38 years older than her sister Alice. In two years, the sum of their age will be 84. How old are they now?

Answer 1

Answer:24

Alice's age:X

Heather age:X+32

After two years

Alice age :X+2

Heather age:X+34

Sum of their age :84

X+2+X+34=84

2X+36=84

2X=84-36

2X=48

X=48/2

X=24

Answer 2

Step-by-step explanation:

Let Heather age be x+38 & Alice age be x.

after 2 years, Heather age will be x+ 40 and Alice age will be x+2.

Given that sum of their ages after 2 years will be 84.

So, x+ 2 + x+ 40 = 84

=> 2x + 42 = 84

=>2x = 84 - 42

=>2x = 42

=> x= 42/2 = 21.

So, Alice age was 21 and, Heather age was 59.

After 2 years, Alice age is 23 and Heather age is 61.