sum of present ages of thahir and masuri is 18 years three years ago thahir was three times as old as mudassar find their present ages
Answers
Answer:
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Step-by-step explanation:
T+M = 18; T = 18-M
T-3 = 3(M-3)
T-3 = 3M-9
18-M-3 = 3M-9
15-M = 3M-9
-4M = -24 divide both sides by -4, and remember -/- = +
M = 6
Now solve for T:
T-3 = 3*(6-3)
T-3 = 9
T = 12
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Check:
6+12 = 18 Correct
Note: You can also solve for T:
T+M = 18; T+6 = 18; T = 12
and then check by substituting in
T-3 = 3(M-3); 12-3 = 3(6-3); 9 = 9
Answer:
Masud = 6 years old Tahir = 12 years old
Step-by-step explanation:
Present age:
Masud as x
Tahir as (18 - x)
3 years ago:
Masud as (x - 3)
Tahir as (18 - x) - 3
Tahir was three times as old as Masud:
⇒ (18 - x) - 3 = 3(x - 3)
⇒ 15 - x = 3x - 9
⇒ - x - 3x = - 9 + (- 15)
⇒ - 4x = - 24
⇒ x = 24/4
⇒ x = 6
Masud = 6 years
Substitute:
⇒ (18 - x)
⇒ 18 - 6
⇒ 12
Tahir = 12 years old