the ages of sonal and manoj are in the ratio of 7:5. ten years hence the ratio of their ages will be 9:7 find their present ages
Answers
Answered by
0
7:5
after 10 years= 9:7
4x=10
x= 2.5
17.5 nd 12.5
22.5 nd 17.5
so current age will be 35:25 (7:5)
and after 10 year ii will be 45:35 (9:7)
Done
after 10 years= 9:7
4x=10
x= 2.5
17.5 nd 12.5
22.5 nd 17.5
so current age will be 35:25 (7:5)
and after 10 year ii will be 45:35 (9:7)
Done
flower99:
can u answer in detail
Answered by
2
Hi Flower ,
Let the present age of Sonal be s
Let the present age of Manoj be m
Given
ages of sonal and manoj are in the ratio of 7:5
s/m = 7/5 ....(1)
ten years hence the ratio of their ages will be 9:7
Note: " Ten years hence" means after 10 years
s+10 / m+10 = 9 / 7 ....(2)
from eq(1)
s =7m / 5
from eq(2) by cross multiplying
7(s+10) = 9(m+10)
7s + 70 = 9m + 90
7s = 9m +20
put s=7m / 5 in above equation
7*7m/5 = 9m + 20
49m/5 - 9m = 20
m (49/5 - 9) = 20
m (4/5) = 20
m = 25
from eq(1)
s/m = 7/5
s= 7m/5 = 35
Their present ages are
Sonal = s = 35 years
Manoj = m = 25 years
Hope it helped.
Let me know if any doubts.
Cheers !!!
Let the present age of Sonal be s
Let the present age of Manoj be m
Given
ages of sonal and manoj are in the ratio of 7:5
s/m = 7/5 ....(1)
ten years hence the ratio of their ages will be 9:7
Note: " Ten years hence" means after 10 years
s+10 / m+10 = 9 / 7 ....(2)
from eq(1)
s =7m / 5
from eq(2) by cross multiplying
7(s+10) = 9(m+10)
7s + 70 = 9m + 90
7s = 9m +20
put s=7m / 5 in above equation
7*7m/5 = 9m + 20
49m/5 - 9m = 20
m (49/5 - 9) = 20
m (4/5) = 20
m = 25
from eq(1)
s/m = 7/5
s= 7m/5 = 35
Their present ages are
Sonal = s = 35 years
Manoj = m = 25 years
Hope it helped.
Let me know if any doubts.
Cheers !!!
Similar questions