The difference between two numbers is 7. Six times the smaller plus the larger is 77, find the numbers. Please answer quickly!! First proper answer will be marked brainliest
The difference between two numbers is 7. Six times the smaller plus the larger is 77, find the numbers. Please answer quickly!! First proper answer will be marked brainliest
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Answer:
Step-by-step explanation:
Best answer Let the smaller number be ‘x’. So, the larger number = x + 7. According to question: ⇒ 6x + (x + 7) = 77 ⇒ 6x + x + 7 = 77 On simplifying we get ⇒ 7x + 7 = 77 Subtracting 7 from both sides, we get ⇒ 7x + 7 – 7 = 77 – 7 ⇒ 7x = 70 Dividing both sides by 7, we get ⇒ 7x/7 = 70/7 ⇒ x = 10 Thus, the smaller number = x = 10 And the larger number = x + 7 = 10 + 7 = 17. The two required numbers are 10 and 17.
Answer:
10 and 17
Step-by-step explanation:
Hey Mate! Here Is Your Answer
Let the two numbers be x and y.
x-y = 7, or
x = y+7 …(1)
6y+x = 77, or
x = 77–6y …(2)
Equate (1) and (2)
y+7 = 77–6y, or
7y = 70, or y = 10 and x = 17.
Check: 6x10+17 = 77. Correct.
The numbers are 10 and 17.
Hope it helps.
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