Question

a number is twice another number when the larger is subtracted from 80,the result is two more than when the smaller is subtracted from 40. Find the numbers? step by step ​

Answer 1

Answer :

• Smaller number is 38
• Larger number is 76

Given :

• A number is twice another number when the larger is subtracted from 80. the result is two more than when the smaller is subtracted from 40

To find :

• The numbers

Solution :

Given,

• A number is twice another number so,
• Let the smaller number be x
• Let the larger number be 2x

According to question,

⇢ 80 - 2x = 40 - x + 2

⇢ -2x + x = 42 - 80

⇢ -x = - 38

⇢ x = 38

Hence , Smaller number is 38.

Larger number :

⇢ 2x

⇢ 2(38)

⇢76

Hence , Larger number is 76

Verification :

⇢ 80 - 2x = 40 - x + 2

⇢ 80 - 2 (38) = 40 - 38 + 2

⇢ 80 - 76 = 2 + 2

⇢ 4 = 4

Hence , Verified