มีแอปเปิ้ลอยู่ 187 ลูกและมีส้มอยู่ 36 ลูก เมื่อแบ่งแอปเปิ้ลนี้ให้กับเด็กกลุ่มหนึ่ง ทุกคนจะได้แอปเปิ้ลเท่ากันพอดี
แต่เมื่อแบ่งส้มให้กับทุกคนเท่ากันปรากฏว่าเหลือส้มอยู่ 2 ลูก จงหาว่าเด็กกลุ่มนี้มีทั้งหมดกี่คน
และแต่ละคนจะได้รับลูกแอปเปิ้ลกี่ลูก

เฉลย >> -ข้อนี้เราต้องแยกตัวประกอบของจำนวนแอปเปิ้ลก่อนครับ เนื่องจากเราแบ่งแอปเปิ้ลให้เด็กกลุ่มนี้ได้ลงตัว
187 = 11 × 17 ดังนั้นเด็กกลุ่มนี้จะต้องมี 17 คน ไม่ก็ต้องมี 11 คนครับ เป็นได้แค่ 2 กรณีนี้เท่านั้น
ต่อไปเมื่อเราแบ่งส้มแ้ล้วปรากฏว่าเหลืออยู่ 2 ลูก ดังนั้นจะมีส้มจำนวนแค่ 34 ลูกที่ถูกแบ่งไปให้กับเด็กจำนวนเท่าๆกัน
ซึงจะสอดคล้องกับการแจกให้กับจำนวนเด็ก 17 คน เพราะถ้าเด็กมี 11 คนจะแบ่งกันไม่ลงตัวครับ
เพราะฉะนั้นจะสรุปได้ว่าเด็กกลุ่มนี้มีทั้งหมด 17 คน และแต่ละคนจะได้แอปเปิ้ลคนละ 11 ลูกครับ

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