The sum of two numbers is 70. Their difference is 16. Find the numbers. ​

2 thoughts on “The sum of two numbers is 70. Their difference is 16. Find the numbers. ​”

1. Given :-

   • The sum of two numbers is 70
   • Their difference is 16

   To find :-

   • Find the given numbers

   Let’s Do :-

   Let the numbers be X and Y.

   According to the question

   x + y = 70_ _ _ _ _ (1)

   x – y = 16_ _ _ _ _ (2)

   ( 1 ) – ( 2 )

   x + y – (x – y) = 70 – 16

   x + y – x + y = 54

   ◆ 2y = 54

   y = 54/2 = 27

   • From 1

   x + y = 70

   x + 27 = 70

   x = 70 – 27

   x = 43

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2. ❍ Given :

   • The sum of two number is 70.
   • Their difference is 16.

   ❍ To find :

   • The numbers.

   ❍ According to the question,

   Let,

   The number be x & other number be y

   ➞ x + y = 70 —— (i)

   ➞ x – y = 16 —— (ii)

   From equation (i),

   ➞ x + y = 70

   ➞ x = 70 – y

   Putting the value of ‘x‘ in equation (ii),

   ➞ x – y = 16

   ➞ 70 – y – y = 16

   ➞ – 2y = 16 – 70

   ➞ – 2y = – 54

   ➞ y = 54 ÷ 2

   ➞ y = 27

   Now,

   Putting the value of ‘y‘ in equation (i),

   ➞ x + y = 70

   ➞ x + 27 = 70

   ➞ x = 70 – 27

   ➞ x = 43

   • Hence, the one number is 27 and other number is 43.

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