Question 1169685
age of lara's mother = x
age of lara = y


lara's mother is 26 years older than lara.
x = y + 36
6 years ago, age of lara'a mother was 3 times age of lara.
x - 6 = 3 * (y - 6)
replace x in this equation with the equivalent value of y + 36 to get:
y + 26 - 6 = 3 * (y - 6)
simplify to get:
y + 20 = 3y - 18
add 18 to both sides of the equation and switch sides to get:
3y = y + 38
subtract y from both sides of the equation to get:
2y = 38
solve for y to get:
y = 19
since x = y + 26, then:
x = 45


you have:
x = 45
y = 19
that should be your answer.
confirm below.


age of lara's mother is 45 which is 26 years older than age of lara.
since lara is 19, then 19 + 26 = 45.
this confirms that lara's mother is 26 years older than lara.


6 years ago, lara was 13 and lara's mother was 39.
39 is 3 * 13.
this confirms that lara's mother was 3 times as old as lara 6 years ago.


solution is confirmed to be good.
solution is:
lara is 19
lara's mother is 45.