Answer:
The value of the larger number is 37 .
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 .