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 smaller number is 15 for the given problem

Answer 2

✬ Smaller Number = 15 ✬

Step-by-step explanation:

Given:

• Sum of two numbers is 80.
• Larger numbers exceeds four times the smaller by 5.

To Find:

• What is the smaller number ?

Solution: Let the larger number be x. Therefore,

➱ Smaller number = 80 – x

A/q

• Larger number exceeds four times the smaller number by 5.

$\implies{\rm }$ x = 4 $\times$ (80 – x) + 5

$\implies{\rm }$ x = 320 – 4x + 5

$\implies{\rm }$ x = 325 – 4x

$\implies{\rm }$ x + 4x = 325

$\implies{\rm }$ 5x = 325

$\implies{\rm }$ x = 325/5

$\implies{\rm }$ x = 65

So,

➽ Larger number = x = 65

➽ Smaller number = 80 – x

=> 80 – 65

=> 15