two numbers are in the ratio of 5:8 and their difference is 12. Find the numbers
Answers
Answered by
10
Answer:
- The numbers are 32 and 20.
Step-by-step explanation:
Let us assume:
- The two numbers are x and y where x > y.
Given that:
Two numbers are in the ratio of 5 : 8.
- i.e., y : x = 5 : 8 ______(i)
Their difference is 12.
- i.e., x - y = 12
⟶ x = 12 + y ______(ii)
To Find:
- The numbers.
Finding the numbers:
- In equation (i).
⟶ y : x = 5 : 8
- Substituting the value of x from eqⁿ(ii).
⟶ y : (12 + y) = 5 : 8
⟶ y/(12 + y) = 5/8
- Cross multiplication.
⟶ 8y = 5(12 + y)
⟶ 8y = 60 + 5y
⟶ 8y - 5y = 60
⟶ 3y = 60
⟶ y = 60/3
⟶ y = 20
- Now in equation (ii).
⟶ x = 12 + y
⟶ x = 12 + 20
⟶ x = 32
The numbers are:
- First number = 32
- Second number = 20
Answered by
3
Finding the numbers:
In equation (i).
y:x = 5:8
Substituting the value of x from eq"(ii).
y : (12 + y) = 5:8
y/(12 + y) = 5/8
• Cross multiplication.
8y = 5(12 + y)
8y = 60 + 5y
8y - 5y = 60
3y = 60
y = 60/3
y = 20
• Now in equation (ii).
x = 12 + y
x = 12 + 20
x= 32
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