Ques no 7
Dear Student,
Let the three consecutive multiples of 9 be 9(x-1), 9x and 9(x+1).
[ Note: we start with x-1 so that when the three numbers are added, -1 of first term gets cancelled out with the +1 of the third term and calculation becomes easy.]
Their sum= 999
9(x-1)+9x+9(x+1) = 999
9x-9+9x+9x+9 = 999
27x= 999
x= = 37
1st number = 9(x-1) = 9(37-1)=9×36= 324
2nd number = 9x= 9×37= 333
3rd number = 9(x+1)=9×38=342
Regards
Let the three consecutive multiples of 9 be 9(x-1), 9x and 9(x+1).
[ Note: we start with x-1 so that when the three numbers are added, -1 of first term gets cancelled out with the +1 of the third term and calculation becomes easy.]
Their sum= 999
9(x-1)+9x+9(x+1) = 999
9x-9+9x+9x+9 = 999
27x= 999
x= = 37
1st number = 9(x-1) = 9(37-1)=9×36= 324
2nd number = 9x= 9×37= 333
3rd number = 9(x+1)=9×38=342
Regards