Asked by kathleen
A mother is three times as old as her son. Eight years ago, she was 4 more than five times the age of her son. How old is the mother now?
Answers
Answered by
Reiny
son's age ---- x
mother ------ 3x
eight yrs ago:
son ---- x-8
mom --- 3x-8
3x-8 = 5(x-8) + 4
3x-8 = 5x-40+4
-2x = -28
x = 14
mother now is 3x = 42
check:
now:
son--- 14
mom ---42
8 yrs ago:
son =6
mom = 34
is 34 four more than 5x6 ?? YES
mother ------ 3x
eight yrs ago:
son ---- x-8
mom --- 3x-8
3x-8 = 5(x-8) + 4
3x-8 = 5x-40+4
-2x = -28
x = 14
mother now is 3x = 42
check:
now:
son--- 14
mom ---42
8 yrs ago:
son =6
mom = 34
is 34 four more than 5x6 ?? YES
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