Question

A larger integer is 1 more than 4 times anotherinteger.if the sum of the integer is 25.find the integer?

Answer 1

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A larger integer is 1 more than twice another:

Equation 1:  x = 2y + 1

The sum of the integers is 25:

Equation 2:  x + y = 25

We can use substitution to solve for y since, from equation 1, we already

know that x = 2y + 1.  Replace the x in equation 2 with 2y+1

(2y+1)+y=25   drop parenthesis, not needed, and add y variables

3y+1 = 25        subtract 1 from both sides

3y = 24            divide both sides by 3

y = 8

We now know the 2nd number is 8.

Since x = 2y + 1 we have x = 2(8)+1 = 17

Your numbers are 8, 17

❤hope it helps you ❤

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