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Correct is
(M - 5) = 4 x (J - 5) --> it was actually "4 times"
(M + 2) = 3 x (J + 2)
Sharif, I have included my explanations in the main chat text box. Algebraic approaches are probably a little too advanced for you at your level, even though I know that the tutor has tried to explain the algebraic concepts in the simplest way possible.
(M - 5) = 4 x (J - 5)
M - 5 = 4J - 20
M = 4J - 20 + 5
M = 4J - 15
For the second equation,
(M + 2) = 3 x (J + 2)
M + 2 = 3J + 6
M = 3J + 6 - 2
M = 3J + 4
Both represent the same "mother", so
4J - 15 = 3J + 4
4J - 3J = 15 + 4
J = 19
so Jane's current age is 19.
The mother's current age is M, or (3 x 19) + 4 = 57 + 4 = 61.