Question

The total cost of a watch and radio is 500. If the watch is cheaper than the radio by Rs 150, find their cost.

Answer 1

Answer:

x=175 y=325

Step-by-step explanation:

let x be the price of one watch and y be the cost of radio x+y=500------------1

y=×+150------------2

substituting 2 in 1

x+×+150=500

2x=350

×=350/2

×=175-------------3

substituting 3 in 2

y=×+150

y=150+175

y=325

Answer 2

Answer:

The cost of the watch is Rs.175 and the cost of the radio is equal to Rs. 325.

Step-by-step explanation:

Consider that the cost of watch is x and cost of radio is 'y'.

Given, the total cost of a watch and radio is equal to Rs.500.

We can write this in the form of a equation:

$x + y = 500$                                                                        .................(1)

Given, the watch is cheaper than radio by amount Rs.150, so it means x is less than y.

$y-x =150$

We can find the value of y in terms of 'x':-

$y = x + 150$                                                                  .................(2)      

Substitute the value of y in the equation (1):-

$x + (x+150) =500$

$2x =350$

$x =175$

Therefore, the cost of the watch is Rs.175.

Substitute the value of 'x' is the equation (2):-

$y= 150 + 175$

$y = 325$

Therefore, the cost of the radio is equal to Rs.325.

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