present age of vatsala and Sarah are 14 years and 10 years respectively after how many years the ratio of their ages will become 5:4
Answers
Answered by
1
Step-by-step explanation:
Present age of Vatsala
=
14
=14 years
Present age of Sara
=
10
=10 years
Let after
x
x years, ratio of their ages will become
5
:
4
5:4
Age of Vatsala after
x
x years
=
14
+
x
=14+x years
Age of Sara after
x
x years
=
10
+
x
=10+x years
Now,
14
+
x
10
+
x
=
5
4
14+x10+x=54
Cross multiply:
4
(
14
+
x
)
=
5
(
10
+
x
)
4(14+x)=5(10+x)
56
+
4
x
=
50
+
5
x
56+4x=50+5x
56
−
50
=
5
x
−
4
x
56−50=5x−4x
6
=
x
6=x
Therefore, after
6
6 years, ratio of their ages will become
5
:
4
5:4
Answered by
0
Answer:
age of vatsala= 14
age of sarah= 10
ration required= 5:4
14:10 : : 5:4
= 7:100
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