Question

The sum of two no.s is 59 and their difference is 23, Which is greater number ?​

Answer 1

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$\mathfrak{\sf{\red{Given:}}}$

☆Sum of two numbers = 59

☆Difference between two numbers = 23

$\mathfrak{\sf{\red{To \: Find:}}}$

☆ Which is greater number?

$\mathfrak{\sf{\red{Solution:}}}$

Le two numbers be x and y.

Now,

$x + y = 59 —— (i) \\ x - y = 23 —— (ii)$

Solving Equation (ii) for x.

$=$$x - y = 23$

$=$$x = 23 + y$

Substituting x in equation (i) for y.

$=$$x + y = 59$

$=$$23 + y + y = 59$

$=$$23 + 2y = 59$

$=$$2y = 59 - 23$

$=$$2y = 59 - 23$

$=$$2y = 36$

$=$$y = \: \frac{36}{2}$

$=$$\red{\tt{y \: = \: 18}}$

Substituting y in equation (i) for x.

$=$$x \: + \: y \: = 59$

$=$$x \: + \: 18 \: = \: 59$

$=$$\red{\tt{x \: = \: 41}}$

$\boxed{\red{\tt{Hence, \: x \: is \: Greater \: Number}}}$

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Answer 2

Answer:

Greater number is $41$ .

Step-by-step explanation:

To find : greater number .

Given : the sum of two numbers is 59 and their difference is 23 .

Solution :

• As per given data we know that , the sum of two numbers is 59 and their difference is 23 .
• Let , $x$ be the greater number and $y$ be the smaller number .
• According to given condition we write as ,
• $x + y = 59$     ----------------(i)
• $x - y = 23$     ----------------- (ii)
• Now , adding (i) and  (ii) ,

         $( x+ y )+(x - y )= 59 + 23\\\\ x + y +x -y = 82\\\\2x = 82 \\\\ x =\frac{82}{2} \\\\ x = 41$

• Greater number = $x = 41$
• Now , substituting value of $x$ in (i) to find $y$ .  
• Smaller number  :

         $41 + y = 59\\\\ y = 59 -41\\\\ y = 18$