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Byju's Answer
Standard IX
Mathematics
Framing Algebraic Equations
The sum of tw...
Question
The sum of two numbers is 125 and their difference is 25.
The correct pair of simultaneous linear equations in two variables representing the following information are:
A
x
+
y
=
125
and
x
−
y
=
25
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B
x
−
y
=
125
and
x
+
y
=
25
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C
x
+
y
=
125
and
x
y
=
25
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D
x
y
=
125
and
x
−
y
=
25
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Solution
The correct option is
A
x
+
y
=
125
and
x
−
y
=
25
Let x and y be the two variables.
Since, their sum=125 and difference=25
⇒
x
+
y
=
125
and
x
−
y
=
25
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0
Similar questions
Q.
Frame linear equations in two variables representing the following information.
(i) The sum of two numbers is 125 and their difference is 25.
Q.
For
n
=
25
,
∑
x
=
125
,
∑
x
2
=
650
,
∑
y
=
100
,
∑
y
2
=
460
,
∑
x
y
=
508
, correlation coefficient is
Q.
n
=
25
,
∑
x
=
125
,
∑
x
2
=
650
,
∑
y
=
100
,
∑
y
2
=
460
,
∑
x
y
=
508
. It was observed that two pair of values of
(
x
,
y
)
were copied as
(
6
,
14
)
and
(
8
,
6
)
instead of
(
8
,
12
)
,
(
6
,
8
)
.
The correct correlation coefficient is
Q.
If
3
+
log
5
x
=
2
log
25
y
, then the value of
x
is
Q.
Solve the following linear programming problem graphically:
Minimise Z = 50x + 25y
subject to the constraints:
x + 2y ≥ 10
3x + 4y ≤ 24
x ≥ 0, y ≥ 0
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