Question

the sum of two numbers is 80 if the larger number exceeds four times the smaller by 5 what is the smaller number​

Answer 1

Answer:

The smallest number is 15

Step-by-step explanation:

Given that :

The sum of two numbers is 80.

The larger number exceeds four times the smaller by 5.

To Find :

The smaller number​.

Solution :

$\textbf{\underline{\underline{Consider as -}}}$

The smaller number​ as "x"

So,

80 - x = 4x + 5

⇒ 4x + x = 80 - 5

⇒ 5x = 75

⇒ 5x = 5 × 15

⇒ x = 15

Hence, The smallest number is 15.

Answer 2

$\huge{\mathfrak{\underline{\underline{Answer :-}}}}$

Let x and y be the two numbers. And x > y.  

Then,  

x + y = 80

Also,  

x = 4y - 5

Solving the two equations,  

80 - y = 4y - 5

75 = 5y

Therefore, y = 15.

And x =4(15)-5

x=60-5

x=55

Hence the smallest number is 15