Question

The difference of two numbers is 42. If the smaller number is increased by 10, the new difference will be
a.32 b.42 c.52 d.420

Answer 1

Answer:

ANSWER

Let the two numbers be xand y, x being the greater one

Then according to the question,

x−y=8 ....(1) and x+12=3y ..(2)

From ..(2),

x=3y−12

Putting this in the ...(1)

3y−12−y=8

2y=12+8=20

y=10

From ...(1)

x−10=8

x=18

Therefore the numbers are 18 and 10

Step-by-step explanation:

solve like this you will find your answer

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The difference of two numbers is 42. If the smaller number is increased by 10, the new difference will be

a. 32

b. 42

c. 52

d. 420

EVALUATION

Let given two numbers are x and y with x > y

Now it is given that the difference of two numbers is 42.

∴ x - y = 42 - - - - - - (1)

Now the smaller number y is increased by 10

Then the value of y becomes

= y + 10

Now the new difference

$\sf = x - (y + 10)$

$\sf = x - y - 10$

$\sf = (x - y) - 10$

$\sf = 42 - 10$

$\sf = 32$

FINAL ANSWER

Hence the correct option is a. 32

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