Question 1132934
let m = Mr Santos present age
let s = son's
:
write an equation for each statement
:
Mr.Santos is 25years older than his son,
m = s + 25
8 years ago, he was 7 more than 10 times as old as his son.
m - 8 = 10(s - 8) + 7
m - 8 = 10s - 80 + 7
m = 10s - 73 + 8
m = 10s - 65
From the 1st equation, replace m with (s+25)
s + 25 = 10s - 65
25 + 65 = 10s - s
90 = 9s
s = 90/9
s = 10 yrs old is the son's present age
then
m = 10 + 25
m = 35 yrs is Mr Santos age now
:
;
Check this in the statement
"8 years ago, he was 7 more than 10 times as old as his son."
35 - 8 = 10(10 - 8) + 7
27 = 10(2) + 7