7
You visited us
7
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
The sum of tw...
Question
The sum of two numbers is
18
. The sum of their reciprocals is
1
/
4
. The smaller number is
Open in App
Solution
⇒
Let one number be
x
, then other number will be
18
−
x
.
According to the question,
⇒
1
x
+
1
18
−
x
=
1
4
⇒
18
−
x
+
x
18
x
−
x
2
=
1
4
⇒
18
18
x
−
x
2
=
1
4
⇒
72
=
18
x
−
x
2
⇒
x
2
−
18
x
+
72
=
0
⇒
x
2
−
12
x
−
6
x
+
72
=
0
⇒
x
(
x
−
12
)
−
6
(
x
−
12
)
=
0
⇒
(
x
−
12
)
(
x
−
6
)
=
0
⇒
x
=
12
and
x
=
6
⇒
Let
x
=
6
then,
18
−
x
=
12
∴
Two number are
6
and
12
⇒
Smallest number is
6
.
Suggest Corrections
0
Similar questions
Q.
The sum of two numbers is
18
. The sum of their reciprocal is
1
4
. Find the numbers.
Q.
The sum of two numbers is 18. The sum of their reciprocals is 1/4. Find the numbers.
Q.
The sum of two numbers is 18 and the sum of their reciprocals is
1
4
,
Find the numbers.
Q.
If sum of the two numbers is
18
the sum of their reciprocals is
1
4
, then find the numbers.
Q.
Sum of two numbers is 24, and sum of their reciprocals is
1
b
. Find the numbers
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
Solving QE by Factorisation
MATHEMATICS
Watch in App
Explore more
Solving a Quadratic Equation by Factorization Method
Standard X 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
Solve
Textbooks
Question Papers
Install app