Julian got a two-section test. There are 4 questions more in the first section than in the second section .

Question

Continuation: Each question is 7 points and each question in the second section is 11 points. Julian answered correctly on all questions and scored a hundred points. How many questions are there in each section?

Answer 1

Well suppose a in first and b in second

We know

a = b + 4

and

7a + 11b = 100

So 7 (b+4) + 11b = 100

7b + 28 + 11b = 100

18b + 28 = 100

18b = 72

b = 4

a = 8

8 x 7 + 4 x 11 = 100