Question

Mary is twice older than her sister in 5 years time she will be 2 years older than her sister find to old they both now

Answer 1

Let Mary be x and her sister y. Mary is two times her sister, so:
x = 2y We'll use this value for x next.
In 5 years:
x+5 = (y+5)+2 Substitute for x:
2y+5 = (y+5)+2
2y+3 = y+5
y = 2
------------
Check:
the sister is 2 and Mary is 2*2=4
In 5 years:
2+5=7
4+5=9
and 9-7 = 2, so in 5 years Mary will be 2 years older than sister. CORRECT

Please mark as brainliest

Answer 2

Define x:

Let her sister be x years old

Mary = 2x

Express their age in 5 years time:

Sister = x + 5

Mary = 2x + 5

Form equation:

Mary will be 2 years older than her sister

⇒ 2x + 5 = (x + 5) + 2

Solve x:

2x + 5 = (x + 5) + 2

2x + 5 = x + 5 + 2

2x + 5 = x + 7

x = 2

Find their current age:

Sister = x = 2

Mary = 2x = 4