Question

The father is 4 times the age of the eldest son and 5 times the age of the youngest son. When the age of the eldest son will be 3 times of the present age, then the age of the father will be 4 years more than twice the age of the younger son. What is their current age?​

Answer 1

Answer:

Father's age = 80 years

Elder son's age = 20 years

Younger son's age = 16 years

Step-by-step explanation:

Let father's age = x

Elder son age = x/4

Younger son age = x/5

3(x/4) = 4 + 2(x/5)

3x/12 = 4 + 2x/10

3x/12 - 2x/10 = 4

3x/60 = 4

x = (4*60)/3

x = 80 years

Answer 2

Answer:

Let, the present age of father be x

Let, the present age of father be xSo, the present age of elder son is x/4

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is3×x/4 = x/4+y

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is3×x/4 = x/4+y3x/4 = x/4+y

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is3×x/4 = x/4+y3x/4 = x/4+y3x/4-x/4 = y

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is3×x/4 = x/4+y3x/4 = x/4+y3x/4-x/4 = y2x/4 = y

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is3×x/4 = x/4+y3x/4 = x/4+y3x/4-x/4 = y2x/4 = y2x = 4y

Let, the present age of father be xSo, the present age of elder son is x/4And the age of younger son is x/5Suppose, after y years the age of the age of the elder son will be 3 times of the present age. So, the equation is3×x/4 = x/4+y3x/4 = x/4+y3x/4-x/4 = y2x/4 = y2x = 4yx = 2y ..(1)

(1)After y years the age of the father will be x+y, which is equals to the 4 years more than twice of the younger son.

(1)After y years the age of the father will be x+y, which is equals to the 4 years more than twice of the younger son.So, the equation is

(1)After y years the age of the father will be x+y, which is equals to the 4 years more than twice of the younger son.So, the equation isx+y = 2×(x/5)+4

(1)After y years the age of the father will be x+y, which is equals to the 4 years more than twice of the younger son.So, the equation isx+y = 2×(x/5)+42y+y = 2×(2y/5)+4 (By putting the value of x from equation number 1)

3y = 14y/5+4

3y = 14y/5+43y-14y/5 = 4

3y = 14y/5+43y-14y/5 = 4y/5 = 4

3y = 14y/5+43y-14y/5 = 4y/5 = 4y = 20

3y = 14y/5+43y-14y/5 = 4y/5 = 4y = 20Now,

3y = 14y/5+43y-14y/5 = 4y/5 = 4y = 20Now, x = 2y (From equation number 1)

x = 2×20 (Putting the value of y)

x = 40

So, after 20 years the age of the eldest son will be 3 times of the present age and the age of the father will be 4 years more than twice the age of the younger son.

So, after 20 years the age of the eldest son will be 3 times of the present age and the age of the father will be 4 years more than twice the age of the younger son.The present age of father is 40 years.

So, after 20 years the age of the eldest son will be 3 times of the present age and the age of the father will be 4 years more than twice the age of the younger son.The present age of father is 40 years.The present age is elder son is

So, after 20 years the age of the eldest son will be 3 times of the present age and the age of the father will be 4 years more than twice the age of the younger son.The present age of father is 40 years.The present age is elder son is 40/4 = 10 years.

So, after 20 years the age of the eldest son will be 3 times of the present age and the age of the father will be 4 years more than twice the age of the younger son.The present age of father is 40 years.The present age is elder son is 40/4 = 10 years.The present age of the younger son is

So, after 20 years the age of the eldest son will be 3 times of the present age and the age of the father will be 4 years more than twice the age of the younger son.The present age of father is 40 years.The present age is elder son is 40/4 = 10 years.The present age of the younger son is40/5 = 8 years.