the sum of two number is 35 and them ratio is 1:4. find the number
Answers
Answer:
Let the ratio be x and 4x
x +4x = 35
5x = 35
x = 35/5
x = 7
now, put the value of x in the number..
x= 7
4x= 4×7 = 28
Solution:-
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Here it is given in the question that the sum of two numbers is 35 and their ratio is 1:4. Now, the question has asked us to find out the the numbers. So, to find the numbers, assume the numbers as 1x and 4x. And after that follow the steps shown below.
ANSWER:-
⬤ 1st number = 7
⬤ 2nd number = 28
GIVEN:-
⟼ 1st number = 1x
⟼ 2nd number = 4x
TO FIND:-
⟿ Numbers = ?
HOW TO DO:-
➜ 1st number + 2nd number = Sum
SOLVING BY APPLYING THE FORMULA:-
⟼ 1st number = 1x
⟼ 2nd number = 4x
➜ 1st number + 2nd number = Sum
- Finding the number:-
Sum is 35.
So,
➜ 1x + 4x = 35
Adding the terms:- 1x + 4x = 5x
So,
➜ 5x = 35
Taking 5 to R.H.S:- 35 / 5
So,
➜ x = 35 / 5
Remainder after dividing the terms:- 35 / 5 = 7
So,
➜ x = 7
Final Answer:- 7
So,
➜ x = 7
- Numbers:-
➜ 1st number = 1x
⠀⠀⠀⠀⠀1x = 1 × 7
⠀⠀⠀⠀⠀⠀⠀= 7
1st number is 7.
➜ 2nd = 4x
⠀⠀⠀⠀⠀⠀4x = 4 × 7
⠀⠀⠀⠀⠀⠀ ⠀= 28
2nd number is 28.
VERIFICATION:-
➜ 7 + 28
➜ 7 + 28 = 35
➜ 35
∴ L.H.S = R.H.S
Hence, verified.
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