The sum of two numbers is 40. The larger number is 10 more than twice the smaller number. Find the numbers

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Given that the sum of two numbers is 40. The larger number is 10 more than twice the smaller number.

Let x denote the larger number.

Let y denote the smaller number.

The expressions can be written as,

---------(1)

      ----------(2)

We need to determine the numbers.

Value of the numbers:

Solving the two equations using the substitution method.

Substitute in equation (1), we have;

Thus, the value of y is 10.

Substitute in equation (2), we have;

Thus, the value of x is 30.

Thus, the two numbers are 30 and 10.

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1