Question

Vsndana is four times as old as her brother Ashish at present. After 10 years she will be twice as old as him. Find their present ages. Please answer with steps..... thank you​

Answer 1

hi.....

Vandna is 20 yrs old and her brother is 5 yrs old. She is 4x older than him. Reads as follows: 4x + x

10 years from now she will be 30 yrs old and he will be 15 yrs old or 2x his age. Reads as: 2x + x + 10

Breakdown:

Bro is x yrs old.

Vanna is 4x yrs old or 4 times that of his (x) age.

10 yrs from now she will be 2 times (2x) that of his age. OR

4x + x = 2x +x +10

5x = 3x + 10

Subtract 3x from both sides.

2x=10

X = 5

Prove your work and make them present and future the same.

4x(5) + x(5) = 2x(5) x(5) + 10 (future yrs)

20 + 5 = 10+5+10

Present25= fut25

Proven

Vandna 20; Bro 5