The difference between two numbers is 7. Six times the smaller plus th

1.	The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.
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.

The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the numbers.

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.