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There are two numbers, when first number is increased by 140% the obtained number is 80 less than second number and if the first number is increased by 120 than the obtained number is 240 less than the second number, find out the sum of two numbers?

There are two numbers, when first number is increased by 140% the obtained number is 80 less than second number and if the first number is increased by 120 than the obtained number is 240 less than the second number, find out the sum of two numbers? Correct Answer 760

Calculation:

Let first and second number be x and y respectively

According to the question,

x × = y – 80

⇒ 12x/5 = y – 80

⇒ 12x = 5y – 400

⇒ 12x – 5y = -400      ----(i)

And, x + 120 = y – 240

⇒ x – y = -360      ----(ii)

Now, multiplying equation (ii) by 5

⇒ 5x – 5y = -1800      ----(iii)

Subtracting equation (iii) by equation (i)

7x = -400 + 1800

⇒ 7x = 1400

⇒ x = 200

Putting value of x in any equation, we will get y = 560

⇒ Sum of two numbers = 200 + 560 = 760

∴ The sum of two numbers is 760

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