1.

The sum of two numbers is 35. One of the numbers exceeds the other by 7. Find the numbers.

Answer»

Let the first number = x 

Then the second number = x + 7 (exceeds first number by 7) 

Sum of two numbers = 35 According to problem, x + x + 7 = 35 

⇒ 2x + 7 = 35 

⇒ 2x = 35 – 7

 ⇒ 2x = 28

⇒ x = 28/2

⇒ x = 14 x + 7 

= 14 + 7 = 21 

∴ The two numbers are 14 and 21

Check: 

Numbers: 14, 21 

Sum = 14 + 21 = 35 

Hence verified



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