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4 years ago

9. One number is 7 more than twice another number. The sum of the numbers is 22. What is one of the numbers?

Mathematics

2 answers:

andreyandreev [35.5K]4 years ago

5 0

Step-by-step explanation:

Hey there!

According to the question,

Let the unknown number be x (smaller) another number be y (greater) respectively.

1st condition: One number is 7 more than twice of another number.

(i.e y = 2x+7)....... (i)

2nd condition: The sum is 22.

(i.e X+y= 22)……(ii)

From equation (ii).

x+ y= 22

x= 22-y

Putting the value of X in eqaution (I)

y = 2(22-y)+ 7

y = 44 - 2y +7

3y = 44+7

y = 51/3

Therefore, y= 17.

Now, Putting the value of y in eqaution (ii)

X = 22-y

x = 22-17

Therefore, x= 5.

Therefore, one number is 17. (Option D).

Hope it helps....

Aleksandr [31]4 years ago

5 0

Step-by-step explanation:

Hey there!

According to the question,

Let the unknown number be x (smaller) another number be y (greater) respectively.

1st condition: One number is 7 more than twice of another number.

(i.e y = 2x+7)....... (i)

2nd condition: The sum is 22.

(i.e X+y= 22)……(ii)

From equation (ii).

x+ y= 22

x= 22-y

Putting the value of X in eqaution (I)

y = 2(22-y)+ 7

y = 44 - 2y +7

3y = 44+7

y = 51/3

Therefore, y= 17.

Now, Putting the value of y in eqaution (ii)

X = 22-y

x = 22-17

Therefore, x= 5.

Therefore, one number is 17. (Option D).

Hope it helps....

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