Question

the ratio of two number is 5:4 if their sum is 45, find the first number? please help, with explanation ​

Answer 1

Step-by-step explanation:

Ratio of two numbers are 5:4

let the two numbers be 5x and 4x

sum of two numbers =45

5x + 4x = 45

9x =45

x= 45÷9

x= 5

first number = 5x5=25

second number =5x4=20

Answer 2

Answer:

The first number is 25 ✔

Step-by-step explanation:

Given that,

• Two numbers are in ratio 5 : 4
• Their sum is 45.

In the question, ratio of two numbers and their sum is given we need to find the numbers.

Step 1 :

Let's assume :

→ first number = “5x”

→ second number = “4x”

Step 2 :

As their sum is 45

We can say that,

→ 5x + 4x = 45

Step 3 :

Solving for x :

→ 5x + 4x = 45

→ 9x = 45

→ x = 45/9 [Transposing ‘9’ to ‘L.H.S.’]

→ x = 5

Therefore the value of x is 5 ✔

The numbers are :

→ 5x = 5(5) = 25 (first number)

→ 4x = 4(5) = 20 (second number)

The numbers are 25 & 20 ✔