1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VI
Mathematics
Addition and Subtraction of Algebraic Expressions
x ∝ 1 y and w...
Question
x ∝
1
y
and when x = 40 then y = 16. If x = 10, find y.
Open in App
Solution
It given that
x
∝
1
y
.
∴
x
=
k
y
, where k is constant of variation
⇒
x
×
y
=
k
When x = 40, y = 16.
∴
k
=
40
×
16
=
40
×
4
=
160
So, the equation of variation is
x
y
=
160
.
When x = 10,
10
y
=
160
⇒
y
=
16
⇒
y
=
16
2
=
256
Suggest Corrections
27
Similar questions
Q.
If x and y vary inversely and x = 18 when y = 8, find x when y = 16.
Q.
If
y
varies directly as
√
x
and
y
=
24
when
x
=
3
, find
y
when
x
=
16
Q.
y a x
2
and y = 128 when x = 16 find
(i) The value of y when x = 10
(ii) The value of x when y = 72.
Q.
If
x
+
y
=
tan
−
1
y
and
y
′′
=
f
(
y
)
y
′
then
f
(
y
)
=
Q.
If
x
varies as
y
and if
x
=
6
when
y
=
3
, find
x
when
y
when
y
=
10
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Addition and Subtraction of Algebraic Equations
MATHEMATICS
Watch in App
Explore more
Addition and Subtraction of Algebraic Expressions
Standard VI Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app