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A father gives Rs. 500 to his children every month. If the boy gets Rs. 100 then, the girl gets Rs. 200 and if the boy gets Rs. 100 the girl gets Rs. 150. How many children does he have?

A father gives Rs. 500 to his children every month. If the boy gets Rs. 100 then, the girl gets Rs. 200 and if the boy gets Rs. 100 the girl gets Rs. 150. How many children does he have? Correct Answer 3

Let the number of boys be x and number of girls be y Now, if the boys get 100, the girls get 200 100x+200y=500 x+2y=5 x=5-2y If the boys get 200, the girls get 150 200x+150y=500 4x+3y=10     (1) Substituting x=5-2y in equation 1 we get, 4(5-2y)+3y=10 20-8y+3y=10 -5y=-10 y=2 x=5-2y=5-2(2)=1 The father has three children.

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