Question

One number is seven less than a second number. Five times the first is 2 more than 6 times the second. Find the numbers. The value of the first number is _____.

Answer 1

Answer:

$\Large \boxed{\sf \ \ 40 \ \ }$

Step-by-step explanation:

Hello,

Let's not a and b the two numbers.

One number is seven less than a second number.

(1) b = a - 7

Five times the first is 2 more than 6 times the second.

(2) 5a = 2 + 6b

(2)+5*(1) gives

5a + 5b = 2 + 6b + 5a - 35

b = 35 - 2 = 33

a = 40

The value of the first number is $\large \boxed{\sf \ \ 40 \ \ }$

Hope this helps.

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