Question

the lengths of rods a and b are 120cm and 96cm respectively.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. Find the length of the rod cur from A​

Answer 1

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

`(120-x)/(96-x) = (10)/(7)\\\\7(120-x)=10(96-x)\\\\840-7x=960-10x\\\\10x - 7x = 960-840\\\\3x = 120\\\\x = 40`

Thus the length of rod cut from A is 40 cm