The length of rod cut from A is 40 cm
Solution:
Given that,
length of rod A = 120 cm
length of rod B = 96 cm
After a rod of equal length is cut from each rod, the ratio of the length of a to that of b becomes 10 : 7
Let "x' be the length of rod cut from rod A and rod B
After that, now length becomes,
length of rod A = 120 - x
length of rod B = 96 - x
Their ratio is equal to 10 : 7
Therefore, we get
[tex]\frac{120-x}{96-x} = \frac{10}{7}\\\\7(120-x)=10(96-x)\\\\840-7x=960-10x\\\\10x - 7x = 960-840\\\\3x = 120\\\\x = 40[/tex]
Thus the length of rod cut from A is 40 cm
