Question

find two consecutive integers such that the sum of the lager number and 4 times the smaller number is 156

Answer 1

Answer:   31 & 32

Step-by-step explanation:

So we first need to assign letters to represent the numbers.

Let 'a' be the larger number and 'b' the smaller.

Now we can use this to write equations that we can solve simultaneously to find both 'a' and 'b'.

according to the question:

a + 4b  = 156  [1]

a - b = 1  [2]   (this is because the integers are consecutive

We can rearrange [2] to make 'a' the subject:     a = b + 1 [3]

We can then substitute [3]  into [1] and solve for b

(b + 1) + 4b = 156

5b = 155

 b = 31

Now we can find 'a' using [3]

a = 31 + 1

a = 32