Question

divide 216 into 3 parts which are in AP and the product of two smaller parts is 5040
pls help me!!!​

Answer 1

Step-by-step explanation:

1. Let the three numbers are a-d, a ,a+d
2. Sum of these three numbers is 216
3. (a-d)+a+(a+d)=216
4. 3a =216 =72

a=72

Product of two smaller parts will be 5040

$(a - d)a = 5040$

according to formula

(72-d) 72=5040

Divide both sides by 72

(72-d)=70

72-70=d

2-d

We have a number A =72 and D=2 so,three numbers are :

a-d=72-2=70

a=72

a+d=72+2=74

Therefore, the three parts are 70,72and 74