When a number n is increased by 25% and 11 is added, the result is 51.

Question

Write an equation to represent this statement

 

Answer 1

To increase a number by 25% means to multiply it by 1.25.  I'll demonstrate:

 

n(1.25) + 11 = 51

 

n(1.25) = 51 - 11

 

n(1.25) = 40

 

n = 40/1.25

 

n = 32

 

Check answer:

 

(32)(1.25) + 11 = 51

 

40 + 11 = 51

 

51 = 51

Answer 2

Said,

 

You can solve these easily by writing: n + ¼·n + 11 = 51

 

(5/4)·n + 11 = 51

 

(5/4)·n = 51 = 11 = 40

 

n = (4/5)·40 = 4·8 = 32