One number is 7 more than twice another. if their difference is 22, what is the larger number?

The value of the larger number is 37 .

Step-by-step explanation:

Let us assume that the first number be u.

Let us assume that the second number be v.

As given

One number is 7 more than twice another.

Than the equation becomes

u = 7 + 2v

As given

If their difference is 22 .

Than the equation becomes

u - v  = 22

Than two equations are

u = 7 + 2v and u - v  = 22

Put u = 7 + 2v in equation u - v  = 22 .

7 + 2v - v = 22

7 + v = 22

v = 22 - 7

v = 15

Put the value of v in the equation u = 7 + 2v .

u = 7 + 2 × 15

u = 7 + 30

u = 37

Therefore the value of the larger number is 37 .

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step-by-step explanation: