The average age of 19 boys in a class = 21 years
Sum total of ages of 19 boys = 19 × 21 years = 399 years
The average age of 19 boys and teacher in a class = 21 years
Sum total of ages of 19 boys and teacher = 20 × 22 years = 440 years
? Age of teacher = Sum total of ages of 19 boys and teacher - Sum total of ages of 19 boys
Age of teacher = ( 440 ? 399 ) years = 41 years
Age of man at the birth of first son = 31 years
The age of wife at the birth of her son = 26 ? 7 = 19 years
Required difference = Age of man at the birth of first son - The age of wife at the birth of her son
Required difference = ( 31 ? 19 ) years = 12 years
Suppose present age of son = P years
Present age of father = 52 years
According to question,
Father's age at son's birth = son's present age
? 52 ? P = P
P + P = 52 years
? 2P = 52
? P = 26 years
Son's age 8 years back = present age of son - 8 years = 26 ? 8 = 18 years
? = 10 x 5 ÷ 3 - 2 + 3
= 10 ÷ 5 + 3 x 2 - 3
Apply the rule BODMAS
Do things in Brackets First
(Powers, Roots) before Multiply, Divide, Add or Subtract.
Multiply or Divide before you Add or Subtract
= 10 ÷ 5 + 3 x 2 - 3
= 2 + 3 x 2 - 3
Addition
= 2 + 6 - 3
Subtraction
= 8 - 3 = 5
Given expression, (50 x 2) W (28 T 4)
After interchanging the letters with symbols, we get
(50 ÷ 2) + (28 x 4) = 25 + 112 = 137
Given, 40* 2* 4 * 3 * 8
Let us check all the options one by one.
From option (a), putting the signs in given equation, we get
40 + 2 - 4 ÷ 3
= 8 ? 42 - 4/3 = 8
? 126 - 4 = 24 ? 122 = 24
? L H S ? R H S
So, option (a) is incorrect.
From option (b), putting the signs in given equation, we get
40 ÷ 2 + 4 = 3 x 8
? 20 + 4 = 24 ? 24 = 24
LHS = RHS
Hence, option (b) is correct and there is no need to check remaining options.
As, 4 - 4 ? 4 x 4 + 1 = 17
6 - 6 ? 6 x 6 + 1 = 37
2 - 2 ? 2 x 2 + 1 = 5
Similarly, 5 - 5 ? 5 x 5 + 1 = 26
? ? = 26
After replacing the sign according to question
1 P 45 R 2 Q 2 S 4
Apply the BODMAS Rule
= 1 + 45 ÷ 2 x 2 - 4
= 1 + 22.5 x 2 - 4
= 1 + 45 - 4 = 42
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