Question

The number of students in school A is 5 more than two times the number of students in school B. The product of the number of students in both the school is 81000. What is the number of students in school A?​

Answer 1

Step-by-step explanation:

let no of student in school A be X and school B be y given that-

x =2y+5. ---1

Xy = 81000. ---2

substitute 1 in 2--->

(2y+5)y = 81000

2y square + 5y=81000

2y^2 +5y -81000=0

further solve

Answer 2

School B = x

School A = 5+2x

School A × School B = 81000

equation formed would be -

(5+2x) × (x) = 81000

2x^2 + 5x = 81000

2x^2 + x = 81000/5

2x^2 + x = 16200

x^2 + x = 16200/2

x^2 + x = 8100

x+x = √8100 (square root of 8100)

2x = 90

x = 90/2

x = 45

we need to find students in school A

School A = 5+2x

School A = 5 + 2×45

School A = 5+90

School A = 95

Hence there are 95 students in school A