find 2 integers such that the sum of the greater number and 4 times the lesser number is 156.

Answer 1

Let's represent the two integers as x and y, with x being the greater number.

According to the given condition, we can write the equation:
x + 4y = 156

Now, we need to find two integers that satisfy this equation.

Let's assume x = 30 and y = 36.
30 + 4(36) = 30 + 144 = 174 ≠ 156

This set of numbers does not satisfy the condition.

Let's assume x = 34 and y = 30.
34 + 4(30) = 34 + 120 = 154 ≠ 156

This set of numbers also does not satisfy the condition.

Let's assume x = 40 and y = 29.
40 + 4(29) = 40 + 116 = 156

This set of numbers, x = 40 and y = 29, satisfies the condition where the sum of the greater number and 4 times the lesser number is 156.