product of two number in 45 and their sum is 14 find the number
Answers
Answered by
0
Answer:
answer is 9 and 5
Answered by
0
Answer:
The required Numbers are 9 and 5
Step-by-step explanation:
Given:-
Product of two numbers 45 and their sum is 14
To find:-
find the numbers
Solution:-
Let the numbers be a and b
Their product=45
=>ab=45
The sum of the numbers =14
=>a+b=14......(1)
we know that
(a-b)²=(a+b)²-4ab
=>(a-b)²=(14)²-4(45)
=>(a-b)²=196-180
=>(a-b)²=16
=>(a-b)=√16
=>(a-b)=±4
taking positive then
a-b=4.....(2)
from (1) and(2)
a+b=14
a-b=4
(+)-----------
2a+0=18
---------------
2a=18
=>a=18/2
a=9
now from (1)
9+b=14
=>b=14-9=5
we have ,
a=9
b=5
Answer:-
The numbers are 9 and 5
Check:-
their sum =9+5=14
Their product=9×5=45
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