11. The sum of two numbers is 14 and the difference between them is 4. ThoseWhat will be the product of both the numbers? दो संख्याओं का योगफल 14 और उनके बीच का अंतर 4 है। उन दोनों संख्याओं का गुणनफल क्या होगा? (1) 36 (2) 54 (3) 27 (4) 45
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solution :-
given in question :-
sum of two numbers is 14 .and two numbers is unknown.
and also mentioned
their difference is 10.
then ,
let a number x and second number y.
in question given.
sum of both number is 14
so,
x + y = 14 ( equation 1 )
difference of number is 10
x - y = 10 (equation 2)
adding eq 1 and 2 then we find
x + y = 14
+
x - y = 10
___________
2 x = 24
----------------------
\begin{gathered}x = \frac{24}{2} = 12 \\ \\ x =1 2\end{gathered}
x=
2
24
=12
x=12
second number y = ?
x + y = 14
12 + y = 14
y = 14 -12
y = 2.
actually we find two numbers x = 12 and y = 2
product of two numbers x × y = ?
product of two numbers 12 ×2 = 24.
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