Sophia is 12. Four times that is 48. If her mother is 5 years less than this, she is 43.
(12 x 4) - 5 = 43
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EXPLANATION
The consecutive even numbers are

EXPLANATION
Let

be the first even number then, the next even number will be,

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

We multiply through with an LCM of 10 to get,

This simplifies to,

We expand the brackets to get,

We group like terms to get,

This simplifies to

Therefore the next even number is is
Answer:
1x + 4y = 4 ⇒ 6x + 24y = 24
6x - 8y = 0 ⇒ 6x - 8y = 0
32y = 24
32 32
y = 3/4
x + 4(3/4) = 4
x + 3 = 4
-3 -3
x = 1
(x, y) = (1, 3/4)
Step-by-step explanation:
up there :D