Question

Soha”s mother is 12 years more than twice Soha”s age. After 8 years,she will be 20 years less than three times Soha’s age .Find their present ages.​

Answer 1

Explanation:

sofia mother-- 12+2a

sofia-- 2a

after 8years

sofia mother (2a×3) - 20

sofia 2a+8

solution

(2a×3) - 20) + 2a = (12+2a) + (2a+8)

(6a-20) + 2a = 12+2a+2a+8

6a-20+2a = 4a + 20

8a-20= 4a+20

collect like terms

8a-4a= 20+20

4a=40

divide both side by 4

a= 10

present age

sofia mother= 12+2a

12+2(10)

=12+20

= 32

sofia age= 2a

= 2(10)

= 20

Sofia mother present age is 32

sofia present age is 20