Question

the ages of John and brown are in the ratio 9 is 25 on 10 years hence the ratio of their ages will be 7 years to 11 find their present ages

Answer 1

Answer:

Step-by-step explanation:

let the ages be 9x,5x

10 yrs from now ,

ages=9x+10,5x+10

age ratio=11:7

ATP,

11(5x+10)=7(9x+10)

=55x+110=63x+70

55x-63x=70-110

-8x= -40

8x=40

x=5

JHN PRESENT AGE =9X =9*5=45YRS

BRWN PRESENT AGE=5X=55=25YRS

Answer 2

Question:

The ages of John and brown are in the ratio 9 is 5 on 10 years hence the ratio of their ages will be 7 years to 11. Find their present ages.

Answer:

John is 45 years old and Brown is 25 years old

Step-by-step explanation:

Ratio fo John's age : Brown's age = 9 : 5

Define x:

Let the constant ratio be x

John's age : Brown's age = 9x : 5x

Solve x:

In 10 years, their age will be in the ratio 11 : 7

(9x + 10) / (5x + 10) = 11/7

7(9x + 10) = 11(5x + 10)

63x + 70 = 55x + 110

8x = 40

x = 5

Find their age:

John = 9x = 9(5) = 45

Brown = 5x = 5(5) = 25

Answer: John is 45 years old and Brown is 25 years old