Question

A number is three times another number. When the larger number is subtracted from 100, the result is 30 more than the smaller number subtracted from 50. Find the numbers.

please give step by step explanation....

Answer 1

Answer :

• 30

To Find :

• The numbers

Solution :

Given that , a number is three times another number so,

• Let the smaller number be x
• Let the larger number be 3x

According To Question :

• When the larger number is subtracted from 100, the result is 30 more than the smaller number subtracted from 50.

Then,

⟾ 100 - 3x = 50 - x + 30

⟾ 100 - 3x = 80 - x

⟾ 100 - 80 = 3x - x

⟾ 20 = 2x

⟾ x = 20/2

⟾ x = 10

According To Question Given that number is 3 times another number so , 3x

• 3x = 3(10) = 30

Hence Answer is 30

Answer 2

Smaller number=10

Larger number=30

Step-by-step explanation:

Let the smaller number be x,

Then,

The larger number= 3x

According to the question,

100-3x= 30 more than smaller number subtracted from 50

So,

100-3x= 30+(50-x)

100-3x=30+50-x

100-3x=80-x

3x-x=100-80

2x=20

x=10

Therefore,

Smaller number=10

Larger number= 3×10= 30