A man is 26years older than his daughter.He is also 8years older than three times his daughter's age.find the daughters age

4 answers

M = Man's age

D = Daughter's age

A man is 26 years older than his daughter means:

M = D + 26

He is also 8years older than three times his daughter's age means:

M = 3 D + 8

M = M

D + 26 = 3 D + 8

Subtract D to both sides

26 = 2 D + 8

Subtract 8 to both sides

18 = 2 D

2 D = 18

D = 18 / 2 = 9 yrs
daughter's age --- x
man's age = x+26

x+26 > 3x by 8
x + 26 = 3x + 8
-2x = -18
x = 9

The daughter is 9 years old

check:
daughter : 9
man : 38

is 35 greater than 27 by 8 ?? YUP

answer is correct
9
1third of a number plus 5 and the result is 1and half of the
original number. Find the no.
The answer is 1whole number 3 over 7