1.

A two digit number is obtained by multiplying thesum of the digits by 8. Also, it is obtained bymultiplying the difference of the digits by 14 andadding 2. Find the number.​

Answer»

Answer:

let 10x+y be the number

so X and y are the digits

according to the question

10x+y=(x+y)*8

or

2x-7y=0 (eq 1)

10x+y=(x-y)14+2

or

4x-15y= -2 (eq 2)

from eq 1 and 2 we get

(2x-7y=0)2

4x-15y= -2

so,

4x-14y=0

4x-15y=-2

y=2

putting y VALUE in eq 1 we get

2x-7*2=0

2x=14

x=14/2=7

so, x=7 and y=2

so 72 is the no.

Step-by-step EXPLANATION:


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