70% of a number is equal to four-fifth of another number. If the difference between the two numbers is 100, what is the bigger number ?

70% of a number is equal to four-fifth of another number. If the difference between the two numbers is 100, what is the bigger number ?
1). 700
2). 750
3). 800
4). Cannot be determined

2 answers

0 vote

Answered by Guest on 2019-05-08 12:23:31 | Votes 0 | #

Solution

Let the two numbers be X and Y.
So, 70%*X = 4/5*Y = 80%*Y
Therefore, 7X = 8Y

It also given that X-Y =100.
Hence, 7X-7Y = 700. But 7X=8Y

Therefore, 8Y-7Y = 700 or Y=700
Hence, the bigger number equals Y+100 = 800

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Guest · Accepted Answer · 2019-04-09 22:41:13

Solution

Let the two numbers be X and Y.
So, 70%*X = 4/5*Y = 80%*Y
Therefore, 7X = 8Y

It also given that X-Y =100.
Hence, 7X-7Y = 700. But 7X=8Y

Therefore, 8Y-7Y = 700 or Y=700
Hence, the bigger number equals Y+100 = 800

70% of a number is equal to four-fifth of another number. If the difference between the two numbers is 100, what is the bigger number ?

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