Question 48

State whether the following statement is true (T) or false (False)
Two numbers differ by 40.If both number is increased by 8 then larger number is equal to three times the smaller number, then the number is 12 and 52.

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Solution

True
Given, one number=x
and other number=40+x
According to the given condition
40 + x =3(x+ 8)
40 + x + 8 = 3x + 24
48 + x = 3x + 24
3x - x = 48 - 24
2x = 24
x = 12
Then other number = 40 + x = 40 + 12 = 52
So the two numbers are 12 and 52

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Question 48 State whether the following statement is true (T) or false (False) Two numbers differ by 40.If both number is increased by 8 then larger number is equal to three times the smaller number, then the number is 12 and 52.

True Given, one number=x and other number=40+x According to the given condition 40 + x =3(x+ 8) 40 + x + 8 = 3x + 24 48 + x = 3x + 24 3x - x = 48 - 24 2x = 24 x = 12 Then other number = 40 + x = 40 + 12 = 52 So the two numbers are 12 and 52

Question 48

State whether the following statement is true (T) or false (False)
Two numbers differ by 40.If both number is increased by 8 then larger number is equal to three times the smaller number, then the number is 12 and 52.

True
Given, one number=x
and other number=40+x
According to the given condition
40 + x =3(x+ 8)
40 + x + 8 = 3x + 24
48 + x = 3x + 24
3x - x = 48 - 24
2x = 24
x = 12
Then other number = 40 + x = 40 + 12 = 52
So the two numbers are 12 and 52