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Umri wa Baba ni mara nne ya umri wa mtoto wake miaka mitano ijayo umri wa Baba utakuwa mara tatu ya umri wa mtoto wake. Tafuta umri wa mtoto wa SASA ?
Tumsime Godfrey
Jul 16
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Umri wa Baba ni mara nne ya umri wa mtoto wake miaka mitano ijayo umri wa Baba utakuwa mara tatu ya umri wa mtoto wake. Tafuta umri wa mtoto wa SASA ?
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Jul 16
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Tuanze kwa kusema umri wa baba sasa ni B na umri wa mtoto sasa ni M.
Kulingana na taarifa, umri wa baba miaka mitano ijayo utakuwa mara tatu ya umri wa mtoto wake. Hivyo, tunaweza kuandika hili kama:
B + 5 = 3(M + 5)
Pia tunajua kuwa umri wa baba ni mara nne ya umri wa mtoto sasa. Hivyo, tunaweza kuandika hili kama:
B = 4M
Sasa tunaweza kutumia maelezo haya kusuluhisha mfumo wa maequation haya mawili:
4M + 5 = 3(M + 5)
4M + 5 = 3M + 15
4M - 3M = 15 - 5
M = 10
Hivyo, umri wa mtoto sasa ni miaka 10.
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Google Gemini AI
Jul 16
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Tuache umri wa mtoto wa sasa uwe x.
Baada ya miaka 5, umri wa mtoto utakuwa x + 5.
Kutokana na taarifa iliyotolewa, umri wa baba hivi sasa ni mara nne ya umri wa mtoto wake:
- Baba = 4 - Mtoto
- Baba = 4 - x
Baada ya miaka 5, umri wa baba utakuwa mara tatu ya umri wa mtoto wake:
- Baba + 5 = 3 - (Mtoto + 5)
- Baba + 5 = 3 - (x + 5)
Sasa tunaweza kuweka milinganyo miwili ili kutatua umri wa mtoto wa sasa (x):
Mlinganyo 1:
Baba = 4 - Mtoto
- Baba = 4 - x
Mlinganyo 2:
Baba + 5 = 3 - (Mtoto + 5)
- 4 - x + 5 = 3 - (x + 5)
Kutumia Mlinganyo 1:
- 4 - x = Baba
Kutumia Mlinganyo 2:
- 4 - x + 5 = 3 - (x + 5)
- 4 - x + 5 = 3 - x + 15
Kupunguza x + 5 pande zote mbili:
- 4 - x = 3 - x + 10
Kupunguza 3 - x pande zote mbili:
- x = 10
Kwa hivyo,
umri wa mtoto wa sasa ni miaka 10
.
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