A mother devides Rs. 207 into three parts such that the amount are in A.P. and gives it to her three children.
A mother devides Rs. 207 into three parts such that the amount are in A.P. and gives it to her three children. The product of the two least amounts that the children had Rs. 4623. Find the amount received by each child.
3 Answers
LET THREE PARTS ARE a-d,a,a+d
NOW ,a-d+a+a+d=207
3a=207
a=69
AND ALSO,PRODUCT OF ANY TWO LEAST NUMBER IS 4623
SO, a(a-d)=4623
69(69-d)=4623
d=2
SO THREE PARTS ARE 67,69,71
a, a + d, a + 2d
a + a + d + a + 2d = 207
3a + 3d = 207
3(a + d) = 207
a + d = 207/3 = 69
a x (a + d) = 4623
a x 69 = 4623
a = 4623/69 = 67
a = 67
67 + d = 69
⇒ d = 69 - 67 = 2
a = Rs. 67
a + d = Rs. 69
a + 2d = Rs. 67 + (2 x 2) = Rs. 71