sum of two numbers is 60. the greater number is 8 more than thrice the smaller number. find the numbers
Answers
Answer:
Here is your answer
Step-by-step explanation:
Given
Equation = x + 8 + 3x = 60
Solution
4x + 8 = 60
4x = 60 - 8
4x = 52
x = 52/4
x = 13
Answer:
Given :-
- Sum of two numbers is 60.
- The greater number is 8 more than thrice the smaller number.
To Find :-
- What is the numbers.
Solution :-
Let,
➲ Smaller Number = x
◆ The greater number is 8 more than thrice the smaller number.
➲ Greater Number = 3x + 8
According to the question,
◆ Sum of two numbers is 60.
⇒ Smaller Number + Greater Number = 60
⇒ x + 3x + 8 = 60
⇒ 4x + 8 = 60
⇒ 4x = 60 - 8
⇒ 4x = 52
⇒ x = 52/4
⇒ x = 13/1
➦ x = 13
Hence, the required numbers are :
❒ Smaller Number :
↦ Smaller Number = x
↦ Smaller Number = 13
➠ Smaller Number = 13
❒ Greater Number :
↦ Greater Number = 3x + 8
↦ Greater Number = 3(13) + 8
↦ Greater Number = 3 × 13 + 8
↦ Greater Number = 39 + 8
➠ Greater Number = 47
∴ The numbers are 13 and 47.
★VERIFICATION ★
↦ x + 3x + 8 = 60
By putting x = 13 we get,
↦ 13 + 3(13) + 8 = 60
↦ 13 + 39 + 8 = 60
↦ 13 + 47 = 60
➠ 60 = 60
Hence, Verified.