Question

the sum of the products of three consecutive natural numbers taken two at a time is 74. find the three numbers ​

Answer 1

Answer:

7,8,9 answer

Step-by-step explanation:

let the three consecutive integers be x,x+1,x+2 in increased order

multiply 2,3,4 RESPECT

2(x)+3(x+1)+4(x+2)

this add up to 74

2(x)+3(x+1)+4(x+2)=74

2x+3x+3+4x+8=74

9x+11=74

9x=74-11=63

x=63÷9=7

there fore the consecutive natural no are 7,8,9