A father's age is thrice the sum of the ages of his two children. After five years, his age will be twice the sum of their ages. How old is the father?

45 years old

Step-by-step explanation:

Given:

- Father's age is thrice the sum of ages of his two children

- After five years, his age will be twice the sum of their ages

Let x be the two children's current age and 3x be the father's current age

Solve:

Set equation

3x + 5 = 2 ( x + 10 )

Expand parenthesis

3x + 5 = 2x + 20

Subtract 5 on both sides

3x + 5 - 5 = 2x + 20 - 5

3x = 2x + 15

Subtract 2x on both sides

3x - 2x = 15

x = 15

15 × 3 = 45 years old

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456.63 gm

Step-by-step explanation:

formula to get density for any matter is given by density = mass / volume.

given

volume = 465 mm

density = 0.982 grams/mm

weight to find

lets plug these value in formula for density

0.982 = mass/465

=> mass = 0.982*465  = 456.63 gm

Thus, Weight of liquid to the nearest hundredth  is  456.63 gm.