Jack is 27 years older than Susan. In 5 years time he will be 4 times as old as her find the present ages of Jack and Susan

J=jack's age

s=susan's age

ok so

jack is 27 years more than susan

j=27+s

in 5 years (j+5 and s+5), he (jack in 5 years) will be (=) 4 times as old as hwer (susan in 5 years)

j+5=4 (s+5)

so we have

j=27+s and

j+5=4 (s+5)

subsitute 27+s for j since they are equal

27+s+5=4 (s+5)

distribute

a (b+c) = ab+ac

4 (s+5) = 4s+20 so we have

27+s+5=4s+20

add like terms

32+s=4s+20

subtract s from both sides

32=3s+20

subtract 20 from both sides

12=3s

divivde 3

4=s

subsitute

j=27+s

j=27+4

j=31

jack is 31

susan is 4

Susan present age is 3 because if you add five to 27 you get 32 then you divide it by 4 and you get 8 then you mince 5 because you added it to 27 and you get 3. And Jacks age stays the same. 27 and 3.