Question

Read the following situations and translate them into mathematical equations: . 6) 1 added to twice a number gives 85. . 7) A business man sells a piece of land. He gives 1/3rd of the money he gets to his daughter, 1/4th to his wife and is left with Rs 10, 00, 000.

Answer 1

6) let the number be x
    ATQ
    2x + 1 = 85

7) let total money = x
    money he gives to his daughter = 1/3 of total money = 1x /3
    money he gives to his wife = 1/4 of total money = 1x /4
    money left = 10,00,000
    A.T.Q.
    1x/3 + 1x/4 + 10,00,000 = x
    $\frac{4x+3x}{12}$ + 1000000 = x
    $\frac{7x}{12}$ + 1000000 =x
    x + $\frac{7x}{12}$ = 10,00,000
    $\frac{19x}{12}$ = 10,00,000
    x = $\frac{1,20,00,000}{19}$
    x = 631579