Question

When a number is increased by 125% then number become 300 less than the other number but if that no. is increased by 150% than that number becomes 200 less than second number.Find the sum of both the numbers:​

Answer 1

Answer:

1200

Step-by-step explanation:

let the numbersare x and y then

125x/100 = y - 300

5x/4 = y - 300

5x = 4y - 1200

5x - 4y = - 1200 ....(1)

now, 150x/100 = y - 200

3x/2 = y - 200

3x = 2y - 400

3x - 2y = - 400 ..... (2)

by multiplying the equation. (2) by 2 & subtracting from equation (1) we get

5x - 4y = - 1200 ....(1)

- 6x - 4y = - 800 ..... (2)

+ +

-x = - 400 or x = 400

by putting the value of x in equation (1) we get

5 (400) - 4y = - 1200

2000 - 4y = -1200

- 4y = -1200 - 2000 = -3200

y = -3200/-4 = 800

so (x+y) = (400+800) = 1200

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