Answered

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If the sum of Noor's age and Salma's age = 30, 3 years ago Noor's
age was half of Salma's age. Find their present ages

Sagot :

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Answer:

Noor's age is 12 & Salma's age is 18

Step-by-step explanation:

Noor's age: N

Salma's age: S

[tex]N+S=30[/tex]             : given

[tex]N - 3 = \frac{S}{2}[/tex]               : given

[tex]N = \frac{S}{2}+3[/tex]               : isolate "N"

[tex]\frac{S}{2}+3 + S = 30[/tex]        : substitute the value of N for N to find the value of "S"

[tex]\frac{S}{2} + S = 27[/tex]             : subtract 3 from both sides

[tex]\frac{S}{2}*2 + S*2 = 27*2[/tex]   ≡   [tex]S + 2S = 54[/tex]       : multiply both sides by 2

[tex]3S = 54[/tex]  : add like values

[tex]\frac{3S}{3} = \frac{54}{3}[/tex]   : divide both sides by 3

S = 18

now insert that value into the initial equation:

[tex]N + 18 = 30[/tex]

[tex]N = 12[/tex]  : subtract 18 from both sides

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