4 years ago Abay's age was thrice that of his son labor's age 8 years later Ebay's age will be twice that of labor's age what is abay's present age?

Question

Answer

Let Abay's present age be x years

Let age of his son be y years

4 years ago age of Abay = ( x - 4 ) years

4 years ago age of his son = (y - 4 ) years

(x - 4 ) = 3( y - 4 )

x - 4 = 3y - 12

x -3y = -8 ....(i) eqn.

8 years later , age of Abay =( x + 8 )

8 years later , age of son =( y + 8 )

x + 8 = 2 ( y + 8 )

x + 8 = 2y + 16

x - 2y = 8 ....(ii)eqn.

From (i) & (ii) eqn.

x - 3y = -8

x - 2y = 8

-y = -16

y = 16 years

Put the value of y in (i) eqn.

x - 3y = -8

x - 3(16) = -8

x - 48 = -8

x = - 8 + 48

x = 40

Present age of Abay = 40 years

Answer

Find the remainder when polynomial p(x)=x ^4+2x^3-3x^2+12x-15 Is divided by polynomial x^2+5

Answer

Given information:
- 4 years ago, Abay's age was thrice that of his son Labor's age.
- 8 years later, Abay's age will be twice that of Labor's age.

Let's assume:
- Abay's present age is A years.
- Labor's present age is L years.

Calculating Abay's age 4 years ago:
- 4 years ago, Abay's age would be (A - 4) years.
- According to the given information, Abay's age at that time was thrice that of Labor's age, so we can write the equation: (A - 4) = 3(L - 4).

Calculating Abay's age 8 years later:
- 8 years later, Abay's age would be (A + 8) years.
- According to the given information, Abay's age at that time will be twice that of Labor's age, so we can write the equation: (A + 8) = 2(L + 8).

Solving the equations:
- We have two equations with two variables. Let's solve them to find the values of A and L.
- Expanding the equations, we get:
- A - 4 = 3L - 12
- A + 8 = 2L + 16
- Simplifying the equations, we get:
- A - 3L = -8 (Equation 1)
- A - 2L = 8 (Equation 2)
- Subtracting Equation 2 from Equation 1, we eliminate A:
- (A - 3L) - (A - 2L) = -8 - 8
- -L = -16
- Dividing both sides by -1, we find:
- L = 16
- Substituting the value of L in Equation 2, we can find A:
- A - 2(16) = 8
- A - 32 = 8
- A = 40

Abay's present age:
- Therefore, Abay's present age is 40 years.

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