Question

Five years hence, rhe age of nuri will be three times that of sonu. five years ago,Nuri's age was seven times that of sonu. what are their present age.​

Answer 1

Answer:

Present age of Nuri is 40 years and present age of Sonu is 10 years.

Step-by-step explanation:

Given :-

• 5 years hence, the age of Nuri will be three times that of Sonu.
• 5 years ago, Nuri's age was 7 times that of Sonu.

To find :-

• Their present ages.

Solution :-

Consider,

• Present age of Nuri = x years
• Present age of Sonu = y years

5 years hence,

• Nuri's age = (x+5) years
• Sonu's age = (y+5) years

According to the 1st condition,

(x+5) = 3(y+5)

→ x+5 = 3y + 15

→ x = 3y + 15-5

→ x = 3y +10..................(i)

5 years ago,

• Age of Nuri = (x-5) years
• Age of Sonu = (y-5) years

According to the 2nd condition,

(x-5) = 7(y-5)

→ x-5 = 7y - 35

→ 3y+10-5 = 7y-35 [put x = 3y+10 from eq(i)]

→ 3y - 7y = -35 - 10 +5

→ -4y = -40

→ y = 10

Therefore,

★ Present age of Sonu = 10 years

Now put y = 10 in eq(i)

x = 3y+10

→ x = 3× 10 + 10

→ x = 40

★ Present age of Nuri 40 years.

Answer 2

Answer:

nuri's present age is 40 and sonu's present age is 10

Step-by-step explanation:

let nuri's age be x and sonu's age be y

a/q,

x+5=3(y+5)

x+5=3y+15

x-3y=10

x=3y+10----(1)

in the question it's also given that,

x-5=7(y-5)

x-5=7y-35

x-7y=-30-----(2)

putting (1) in (2)

10+3y-7y=-30

-4y=-40

y=10

x=10+3(10)

x=40