The difference between two numbers Six times the smaller plus larger is 77.
Answers
Step-by-step explanation:
Let the larger no. be x and the smaller one be x-7
Then,
6(x-7) +x = 77 ...(given)
⇒6x - 42 +x = 77
⇒7x- 42 = 77
i.e x= 17
Now putting the value of x in given equation, we get
i.e x-7=y
⇒y = 17-7
⇒y = 10
Follow me ✌✌✌✌
Question:
The difference between two numbers 7. Six times the smaller plus larger is 77. Find the number.
Solution:
• Let the bigger number be M.
And
• Smaller number be M - 7
A.T.Q.
» Six times the smaller (M - 7) plus larger (M ) is 77.
=> 6(M - 7) + M = 77
=> 6M - 42 + M = 77
=> 7M = 77 + 42
=> 7M = 119
=> M = 119/7
=> M = 17
• M - 7
=> 17 - 7 = 10
______________________________
______________ [ ANSWER ]
_____________________________
✡ Verification :
The difference between two numbers (i.e. Bigger number and of Smaller number) is 7.
From above calculations we have bigger number = 17 and smaller number = 10
Bigger number - Smaller number = 7
=) 17 - 10 = 7
=) 7 = 7
_____________________________