Question

Q.3. The sum the ages of two brothers is 25 years and their difference is 3 years. Find their ages.

1 point

14 years ,11 years

13 years,12 years

20 years ,5 years

none of these

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Answer 1

Answer:

3. The sum the ages of two brothers is 25 years and their difference is 3 years. Find their ages.

Step-by-step explanation:

11+14 11×2 = 22 +3= 25 age difference 3 year

14 years ,11 years

hence age of two brothers is 14 y and 11 y

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Answer 2

GIVEN :-

• the sum of the ages of two brother is 25 years
• the difference between the ages of two brother is 3 years.

TO FIND :-

• Ages of both brothers.

SOLUTION :-

▪︎Let the age of first brother is x years

▪︎ Age of second brother is y

sum of age,

⇒ x + y = 25

⇒ x = 25 - y ------------------(1)

Difference of age,

⇒ x - y = 3

⇒ 25 - y - y = 3

⇒ 25 - 2y = 3

⇒ -2y = 3 - 25

⇒ -2y = -22

⇒ y = -22/-2

⇒ y = 11 -------------------(2)

Now put the value of y in Equation 1,

⇒ x = 25 - y

⇒ x = 25 - 11

⇒ x = 14

Hence their ages be 14 years and 11 years.

VERIFICATION :-

❂ Sum of ages = 25

⇒ x + y = 25

⇒ 14 + 11 = 25

⇒ 25 = 25

L.H.S = R.H.S

❂ Difference of ages = 3

⇒ x - y = 3

⇒ 14 - 11 = 3

⇒ 3 = 3

L.H.S = R.H.S

HENCE VERIFIED