5 year ago new Nuri was thrice and old as Sonu 10 years later new Nuri will be twice as old as Sonu how old are NUri and Sonu
Answers
Answer:
sonu's age is 20 years now
and nuri's age is 50 years
Step-by-step explanation:
5 years ago,
let sonu's age be x
nuri's age be 3x
10 years from now means 15 years from 5 years before
sonu's age = x + 15
nuri's age = 3x +15
but given nuri's age is twice sonu's age so,
2(x + 15) = 3x + 15
2x + 30 = 3x + 15
3x - 2x = 30 - 15
x = 15
x is the age 5 years ago
sonu's age now = x+5=15+5=20
nuri's age=3x 5 years ago
nuri's age now = 3x+5=3×15+5=45+5=50
Let us assume, the present age of Nuri is x.
And the present age of Sonu is y.
According to the given condition, we can write as;
x – 5 = 3(y – 5)
x – 3y = -10…………………………………..(1)
Now,
x + 10 = 2(y +10)
x – 2y = 10…………………………………….(2)
Subtract eq. 1 from 2, to get,
y = 20 ………………………………………….(3)
Substituting the value of y in eq.1, we get,
x – 3(20) = -10
x – 60 = -10
x = 50
Therefore ,