Question

the number which when subtracted from each of the terms of the ratio 19 : 31 reducing it to 1 : 4 ii​

Answer 1

Step-by-step explanation:

Answer :

The number is 15

Given :

The number which when subtracted each of the terms of the ratio 19 : 31 reducing it to 1 : 4

To find :

The number

Solution :

Let the number be x

Given , The number which when subtracted from each of the terms of the ratio 19 : 31 reducing it to 1 : 4 then,

19 - x / 31 - x = 1 : 4

➨ 19 - x / 31 - x = 1 : 4

➨ 19 - x / 31 - x = 1/4

➨ 4(19 - x) = 31 - x

➨ 76 - 4x = 31 - x

➨ 76 - 31 = 4x - x

➨ 4x - x = 76 - 31

➨ 3x = 45

➨ x = 45/3

➨ x = 15

Hence ,The number is 15.

Verification :

➨ 19 - x / 31 - x = 1/4

➨ 19 - 15 / 31 - 15 = 1/4

➨ 4/16 = 1/4

➨ 1/4 = 1/4

Hence , Verified

Answer 2

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Given :

• The number which when subtracted each of the terms of the ratio 19 : 31 reducing it to 1 : 4

To find :

• The number

Solution :

• Let the number be x

Given , The number which when subtracted from each of the terms of the ratio 19 : 31 reducing it to 1 : 4 then,

19 - x / 31 - x = 1 : 4

➨ 19 - x / 31 - x = 1 : 4

➨ 19 - x / 31 - x = 1/4

➨ 4(19 - x) = 31 - x

➨ 76 - 4x = 31 - x

➨ 76 - 31 = 4x - x

➨ 4x - x = 76 - 31

➨ 3x = 45

➨ x = 45/3

➨ x = 15

Hence ,The number is 15.

Verification :

➨ 19 - x / 31 - x = 1/4

➨ 19 - 15 / 31 - 15 = 1/4

➨ 4/16 = 1/4

➨ 1/4 = 1/4

Hence , Verified