Question

The sum of two numbers is 10 and their difference is 2. Then the larger number is ......... .​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Solution:-

Let the numbers are x and y

$\sf x+y=10\dots(1)$

$\sf x-y=1\dots (2)$

• By adding both equations

$\\\qquad\quad\sf {:}\longrightarrow x+y+x-y=10+2$

$\\\qquad\quad\sf {:}\longrightarrow x+x+y-y=12$

$\\\qquad\quad\sf {:}\longrightarrow 2x=12$

$\\\qquad\quad\sf {:}\longrightarrow x=\dfrac {12}{2}$

$\\\qquad\quad\sf {:}\longrightarrow x=6$

• Substitute the value of x in eq (1)

$\\\qquad\quad\sf {:}\longrightarrow 6+y=10$

$\\\qquad\quad\sf {:}\longrightarrow y=10-6$

$\\\qquad\quad\sf {:}\longrightarrow y=4$

Here

$\\\qquad\quad\sf {:}\longrightarrow x\gt y$

Hence the larger number is 6