the difference between two number is 48 the ratio of the two number is 7is ti3 what are the two numbers
Answers
★ANSWER :
The two numbers are 84 and 36.
★ EXPLANATION :
•Given :-
- Difference between two numbers is 48 .
- Ratio of the two numbers is 7:3.
•To find :-
- The two numbers.
• Solution :-
Ratio of two numbers = 7:3
Let the two numbers be 7x and 3x.
Difference between two numbers =48
According to the question,
7x - 3x = 48
→4x = 48
→ x = 48/4
→ x = 12
1st number = 7x
→1st number= 7×12
→1st number = 84
2nd number = 3x
→2nd number= 3×12
→2nd number=36
Therefore, the two numbers are 84 and 36.
________________________
VERIFICATION :
1st number = 84
2nd number = 36
Difference between two numbers=48
→(84-36)=48
→48= 48 ( Verified )
________________________
Step-by-step explanation:
Given -
Difference between the two number is 48
Ratio of the two number 7 : 3
To Find -
Both numbers
Let x be the number.
Then,
The numbers are 7x and 3x.
It is given that the difference of two numbers is 48
It means,
7x - 3x = 48
= 4x = 48
= x = 48/4
= x = 12
Then,
The two number is
7x = 7 × 12 = 84
3x = 3 × 12 = 36
Hence,
The two required number is 84 and 36
Verification -
7x - 3x = 48
= 7(12) - 3(12) = 48
= 84 - 36 = 48
= 48 = 48
LHS = RHS
Hence,
Verified..