Question

A sum of rs 64 is divided between tom and jerry such that 3 times tom 's share is greater than 4 times jerry 's share by rs 10. Then the shares of tom and jerry are ____ respectively.

Answer 1

Solution_
__________

Let tom's share be Rs x. 

Then, jerry's share = Rs (64 - x)

As per problem, 3x - 4(64 - x) = 10

⇒ 3x - 256 + 4x = 10

⇒ 7x - 256 = 10

⇒ 7x = 10 + 256 (By transposing -256 to RHS)   

⇒ x = 266/7 (Dividing both sides by 7)

⇒ x = 38
tom's share = Rs 38
Jerry's share = 64 - 38 = Rs 26

Hence, the shares of Tom and jerry are Rs 38 and Rs 26 respectively.

Answer 2

let the share of tom be x and of Jerry be y
so , 3x - 4y = 10
and x + y = 64

on solving we get
x = 38 and y = 26

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