Question

Ahmed mother is four times as old as Ahmed. after 5 years, his mother will be three times as old as he will be then . what are their present ages?​

Answer 1

Answer:

Step-by-step explanation:

Let present age of Ahmed =x years

Let present age of Ahmed's mother =y years

After five years age of Ahmed  =(x+5) years

After five years age of Ahmed's mother =(y+5) years

According to problem,

y=4x …………..(1)

y+5=3(x+5) ………(2)

Put (1) in (2), we get

4x+5=3x+15

4x−3x=15−5

x=10

y=40

∴ Ahmed 's present age =10 years

Ahmed's mother's present age =40 years.

Answer 2

Answer:

let Ahmed mother age be x years

Ahmed age be y years then,

x=4y-------(eq-1)

after 5 years,

Ahmed mother age (x + 5)

Ahmed age( y+5)

according to the question,

x+5=3(y+5)

x+5=3y+15

x-3y=15-5

x-3y=10

x-3y-10=0--------(2)

putting x=4y in equation 2

4y-3y-10=0

y-10=0

y=10

putting y=10 in equation 1

x=4y

x=4×10

x=40

hence,Ahmed mother present age is 40 years

Ahmed present age is 10 years

Step-by-step explanation:

hope it helps you