at present Ankit is twice as old as his son in four years he will be four times as old as what his son was 9 years ago find the present years of both of them

His son present age is 20 years

His present age is 40 years

Step-by-step explanation:

Assume that this son's age now is x years

∵ His son's age now = x years

∵ Ankit age is twice as old as his son

→ Twice means × 2

∴ Ankit age = 2 × x = 2x years

→ In for years means after 4 years (add)

∵ His age in four years = 2x + 4

→ 9 years ago means before 9 years (subtract)

∵ His son 9 years ago = x - 9

∵ In 4 years he will be four times as old as what his son was 9 years ago

→ That means 2x + 4 = 4 × (x - 9)

∴ 2x + 4 = 4(x - 9)

→ Let us solve the equation to find x

∴ 2x + 4 = 4(x) - 4(9)

∴ 2x + 4 = 4x - 36

→ Subtract 4 from both sides

∵ 2x + 4 - 4 = 4x - 36 - 4

∴ 2x = 4x - 40

→ Subtract 4x from both sides

∵ 2x - 4x = 4x - 4x - 40

∴ -2x = -40

→ Divide both sides by -2

∵ =

∴ x = 20

∵ x represents the present age of his son

∴ His son present age is 20 years

∵ 2x represents his present age

∵ 2(20) = 40

∴ His present age is 40 years

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

faster, im not sure why but i know it is faster