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❚ QuEstiOn ❚
@ In a garden there are some bees and flowers. If one bee sits on each flower, then, one bee will be left. If two bees sit on each flower, one flower will be left. Find the number of bees and number of flowers. Write equation for this data .
❚ ANsWeR ❚
✺ Given :
- If one bee sits on each flower 1 bee will be left
- If one bee sits on each flower 1 bee will be leftIf 2 bees sit on each flower 1 flower will be left
✺ To FinD :
- Number of bees
- Number of bees Number of flowers
✺ Explanation :
Let , number of bees = X
and the number of flowers = Y
Now ,
✏ Condition 1 :-If one bee sits on each flower 1 bee will be left --
➩ X-Y=1
➩ X = (Y+1) ---------------------(i)
✏ Condition 1 :-If one bee sits on each flower 1 bee will be left
➩ 2×(Y-1)=X
( as , bees only sit on (Y-1) numbers of flowers , and on each flower there are 2 bees )
➩ 2Y-2=Y+1 [ from equation (i) ]
➩ 2Y-Y=1+2
➩ Y = 3
Now , putting the value of Y = 3 in equation (i)
Now , putting the value of Y = 3 in equation (i)we get ,
➩ X = 3+1
➩ X = 4
✺ Therefore :
Number of Bees = 4 and Number of flowers = 3.