Question

6)Three fourth of a number exceeds its one third by 60. the number is
a)124
b)144
c)164
d)154​

Answer 1

Answer:

144

Step-by-step explanation:

Given:

• Three fourth of a number exceeds its one third by 60.

To find:

• The number.

Solution:

First we will assume the number as x and we know that three fourth of a number, which means three fourth of x exceeds its one third. So, we will subtract one third of x from three fourth of x and that is equal to 60. Thus, forming an adequate equation and doing the required calculations, we will find the value of x that is the number.

Let the number be x.

According to the problem,

• 3/4x - 1/3x = 60
• (9 - 4)/12 x = 60
• 5/12 x = 60
• x = 60 × 12/5
• x = 12 × 12
• x = 144

∴ The required number = 144

Option b.) is correct ✓

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