Question

The sum of two numbers is 49 and their difference is 13. What is the larger number?

Answer 1

Answer :-

• The larger number is 31.

Step-by-step explanation:

To Find :-

• The larger number

Solution:

Given that,

• The difference between two numbers is 13
• The sum of two numbers = 49

Assumption: Let us assume one number as x and the other number as ( x - 13 ),

Therefore,

• x + ( x - 13 ) = 49

=> x + ( x - 13 ) = 49

=> x + x - 13 = 49

=> x + x = 49 + 13

=> x + x = 62

=> 2x = 62

=> x = 62/2

=> x = 31

Hence, The value of x is 31.

Now, The numbers are :-

• The number which we assumed as x

=> x

=> 31

• The number which we assumed as ( x - 13 )

=> ( x - 13 )

=> ( 31 - 13 )

=> 18.

According the question,

The larger number is :-

=> 31 > 18

So, The larger number is 31.

Answer 2

..QUESTION..

The sum of two numbers is 49 and their difference is 13 . What is the larger number ?

..ANSWER..

Given ,

ㅤㅤ➪ Sum of the numbers = 49ㅤ --(1)

ㅤㅤ➪ Difference "ㅤ" ㅤ"ㅤ= 13ㅤ --(2)

★ Let the numbers are

•°• ㅤㅤㅤFirst number = x

ㅤㅤㅤSecond number = x - 13

•°• In equation 1

➪ 1st number + 2nd number = 49

ㅤㅤㅤ➪ x + ( x - 13 ) = 49

ㅤㅤㅤ➪ x + x - 13ㅤ = 49

ㅤㅤㅤ➪ 2x - 13 ㅤ = 49

ㅤㅤㅤ➪ㅤ2xㅤㅤㅤ = 49 + 13

ㅤㅤㅤ➪ㅤ2x ㅤㅤㅤ= 62

ㅤㅤㅤ➪ㅤxㅤㅤㅤㅤ= 62 / 2

ㅤㅤㅤ➪ㅤxㅤ ㅤ ㅤ = 31

°•° First number ➪ x = 31

•°• Second number ➪ x - 13

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ ➪ 31 - 13

ㅤㅤㅤㅤㅤㅤㅤㅤㅤ ➪ 18

•°• Larger number = 1st number = 31 ✓

ㅤㅤㅤㅤㅤ★VERIFICATION★

☯︎ From ( 1 )

ㅤ➪ sum of the numbers = 49

ㅤ➪ 1st number + 2nd number

ㅤ➪ㅤ31ㅤ+ㅤ18

ㅤ➪ㅤ49ㅤ=ㅤR.H.S

☯︎ From ( 2 )

ㅤ➪ Difference of numbers = 13

ㅤ➪ 1st number - 2nd number

ㅤ➪ㅤ31ㅤ-ㅤ18

ㅤ➪ㅤ13ㅤ=ㅤR.H.S

ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂