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

2 thoughts on “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”

1. 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

   ————————

   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

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2. 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

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