Question

L
LULU
olution
Then, b = 4a and a + b = 10.
We put b = 4a in a + b = 10 so that a + 40 = 10, i.e., 5a = 10. i.e., a = 2.
a=2 and b = 4a = 8.
Hence, the number is 10 a + b = 20 + 8 = 28.
Exercise 5.1
1. A number of two digits has 3 for its units digit and the sum of dig
its is of the number itself. What is
the number?
2. A two-digit number becomes five-sixth of itself when its digits are reversed. The two digits differ by
one. What is the number?
(Hint: Since the number decreases when the digits are reversed, so we take the tens digit to be larger
than the units digit.]
3. A two-digit number exceeds the sum of the digits of that number by 18. If the digit at the units place
is double the digit in the tens place, what is the number?
4. The difference between a two-digit number and the number obtained by interchanging the positions
of its digits is 63. What is the difference between the two digits of that number?
ne difference between a two-digit number and the number obtained by interchanging the digits is
. What is the difference between the sum and the difference of the digits of the number if the ratio
between the digits of the number is 1 : 2?
.
.
T
rorced in the Generalized Form​

Answer 1

Answer:

L

LULU

olution

Then, b = 4a and a + b = 10.

We put b = 4a in a + b = 10 so that a + 40 = 10, i.e., 5a = 10. i.e., a = 2.

a=2 and b = 4a = 8.

Hence, the number is 10 a + b = 20 + 8 = 28.

Exercise 5.1

1. A number of two digits has 3 for its units digit and the sum of dig

its is of the number itself. What is

the number?

2. A two-digit number becomes five-sixth of itself when its digits are reversed. The two digits differ by

one. What is the number?

(Hint: Since the number decreases when the digits are reversed, so we take the tens digit to be larger

than the units digit.]

3. A two-digit number exceeds the sum of the digits of that number by 18. If the digit at the units place

is double the digit in the tens place, what is the number?

4. The difference between a two-digit number and the number obtained by interchanging the positions

of its digits is 63. What is the difference between the two digits of that number?

ne difference between a two-digit number and the number obtained by interchanging the digits is

. What is the difference between the sum and the difference of the digits of the number if the ratio

between the digits of the number is 1 : 2?

.

.

T

rorced in the Generalized Form