two numbers are in ratio 4:5 and their sum is 180.Find the numbers
Answers
Step-by-step explanation:
let he numbers be
4x and 5x
according to question -
4x + 5x = 180
=> 9x=180
=> x=90
therefore the numbers are -
4x= 360 and 5x=450
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Required Answer :
- First number = 80
- Second number = 100
Given :
• Ratio of two numbers = 4 : 5
• The sum of the two numbers = 180
To find :
• The two numbers
Solution :
Here, we have to find the two numbers who are in the ratio 4 : 5. So, firstly we will assume the numbers according to the ratios given. Then we shall add both numbers and keep them equal to 180.
Let the two numbers be 4x and 5x
- First number = 4x
- Second number = 5x
According to the question,
→ 4x + 5x = 180
→ 9x = 180
→ x = 180/9
→ x = 20
The value of x = 20
Substituting the value of 'x' in the numbers :-
→ First number = 4x
→ First number = 4 × 20
→ First number = 80
→ Second number = 5x
→ Second number = 5 × 20
→ Second number = 100