Question

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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Answer 1

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,

`x+y=40` ---------(1)

`x=10+2y` ----------(2)

We need to determine the numbers.

Value of the numbers:

Solving the two equations using the substitution method.

Substitute
`x=10+2y` in equation (1), we have;

`10+2y+y=40`

`10+3y=40`

`3y=30`

`y=10`

Thus, the value of y is 10.

Substitute
`y=10` in equation (2), we have;

`x=10+2(10)`

`x=10+20`

`x=30`

Thus, the value of x is 30.

Thus, the two numbers are 30 and 10.