Question

The larger of tow numbers is 11 more than twice the smaller number. The sum of the numbers is 1 less than seven times the smaller number. Find the numbers

Answer 1

The larger number is 17 and smaller number is 3.

Step-by-step explanation:

Let,

Larger number = x

Smaller number = y

According to given statement;

x = 2y + 11   Eqn 1

x+y=7y -1    Eqn 2

Putting value of x from Eqn 1 in Eqn 2;

$(2y+11)+y=7y-1\\2y+11+y=7y-1\\3y+11=7y-1\\3y-7y=-1-11\\-4y=-12$

Dividing both sides by -4

$\frac{-4y}{-4}=\frac{-12}{-4}\\y=3$

Putting y=3 in Eqn 1

$x=2(3)+11\\x=6+11\\x=17$

The larger number is 17 and smaller number is 3.

Keywords: linear equation, addition

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