3 years ago, Nancy’s age was more than Khaled’s age by 2, 4 years from now, twice Nancy’s age will be more than Khaled’s age by 16. Find their ages.

Nancy will be 32 and Khaled will be 16

Step-by-step explanation:

3 years ago Nancy was more than 2 so lets start with 2. To get back to present each year x2 meaning 3 x 2=6 and add the 2 so thats 8. Now the 4 more years is 4x2 which is 8. 8+8=16 and then twice Nancy's age is 16x2: Nancy is 32 and Khaled is 16

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this