A number consists of two digits whose sum is 5 - If the unit-s digit is multiplied by 9-2- it will be equal to three times the ten-s digit- Find the number-

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Standard VII

Mathematics

Equation

A number cons...

Question

A number consists of two digits whose sum is 5. If the unit's digit is multiplied by $\frac{9}{2}$ , it will be equal to three times the ten's digit. Find the number.

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Solution

The correct option is D
32

Let the units digit be $x$

Ten's digit = $5 - x$

According to the given condition

$\Rightarrow \frac{9}{2} \times x = 3 \times (5 - x)$

$\Rightarrow 9 x = 6 (5 - x)$

$\Rightarrow 9 x = 30 - 6 x$

$\Rightarrow 15 x = 30$

$\Rightarrow x = 2$

$∴$ The number is 32.

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Similar questions

Q. A number consists of two digits whose sum is

9

. If

27

is added to the number, its digits are interchanged. Are the given steps to find the number true?
Step

1

: Let the unit's digit be x
Step

2

: Then, ten's digit

= (9 - x)

∴

number

= 10 \times (9 - x) + x \Rightarrow 90 - 10 x + x = (90 - 9 x)

Step

3

: Adding

27

to the number

90 - 9 x

we get

117 - 9 x

Step

4

: Number with digits interchanged is

10 x + (9 - x) = 9 x + 9

Step

5

117 - 9 x = 9 x + 9

Step

6

: Therefore unit's digit

= 6

and ten's digit

= 3

Step

7

: Hence the number

= 36

Q. A number consists of two digits such that the digit in the ten's place is less by

2

than the digit in the unit's place. Three times the number added to

\frac{6}{7}

times the number obtained by reversing the digits equals

108

. What is the sum of the digits in the number?

A two-digit number is such that the ten's digit exceeds twice the unit's digit by 2 and the number obtained by inter-changing the digits is 5 more than three times the sum of the digits. Find the two digit number.

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A number consists of two digits whose sum is 5. If the unit's digit is multiplied by 92, it will be equal to three times the ten's digit. Find the number.

The correct option is D 32 Let the units digit be x Ten's digit = 5−x According to the given condition ⇒92×x=3×(5−x) ⇒9x = 6(5−x) ⇒9x = 30−6x ⇒15x = 30 ⇒x =2 ∴ The number is 32.

A number consists of two digits whose sum is 5. If the unit's digit is multiplied by $\frac{9}{2}$ , it will be equal to three times the ten's digit. Find the number.

The correct option is D
32

Let the units digit be $x$

Ten's digit = $5 - x$

According to the given condition

$\Rightarrow \frac{9}{2} \times x = 3 \times (5 - x)$

$\Rightarrow 9 x = 6 (5 - x)$

$\Rightarrow 9 x = 30 - 6 x$

$\Rightarrow 15 x = 30$

$\Rightarrow x = 2$

$∴$ The number is 32.