34. The ratio of Mona's and Vikas's present ages is 9:10. After 4
years the ratio of their ages becomes 11:12.What is Mona's
presentage?
SYy18 yrs (2) 22 yrs (3) 20 yrs (4) none
Answers
Answer:
Mona's present age = 18 years.
Step-by-step explanation:
Present ages:
Mona = 9x
Vikas = 10x
After 4 years:
Mona = 11
Vikas = 12
9x + 4/10x + 4 = 11/12
11(10x + 4) = 12(9x + 4)
110x + 44 = 108x + 48
110x - 108x = 48 - 44
2x = 4
x = 4/2
x = 2
Present ages:
Mona = 9x = 9 × 2 = 18
Vikas = 10x = 10 × 2 = 20
Check ⇒
Present ages:
Mona = 9x = 9 × 2 = 18
Vikas = 10x = 10 × 2 = 20
After 4 years:
Mona = 11
Vikas = 12
18 + 4/20 + 4 = 22/24 = 11/12
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Answer:
Mona's present age=18 years
Step-by-step explanation:
ratio of Mona's and Vikas's present age=9:10
Let Mona present age=9x
vikas present age=10x
After four year,
Mona's age=9x+4
Vikas's age=10x+4
After four year the ratio of their ages=11:12
(9x+4):(10x+4)=11:12
12×(9x+4)=11×(10x+4)
108x+48=110x+44
48-44=110x-108x
4=2x
x=4÷2
x=2
so Mona's present age=9x
=9×2
=18 years