A two digit number is four times the and three times the product of its digits- Find the number42362463

Question

Toppr Admin · Accepted Answer

Lettheoriginalnumberbex-10a-b-10a-b-4-a-b-6a-x2212-3b-1-10a-b-3ab-10a-b-x2212-3ab-30a-3b-x2212-9ab-2-adding-1-and-2-weget-36a-x2212-9ab-0-b-4-a-2-x-24

A two digit number is four times the sum and three times the product of its digits. Find the number
$42$
$36$
$24$
$63$

$L e t t h e o r i g i n a l n u m b e r b e x = 10 a + b, 10 a + b = 4 (a + b) = 6 a - 3 b . . . (1) 10 a + b = 3 a b = 10 a + b - 3 a b = 30 a + 3 b - 9 a b . . . (2) a d d i n g (1) a n d (2), w e g e t, 36 a - 9 a b = 0, b = 4, a = 2, x = 24$

A two digit number is four times the sum and three times the product of its digits. Find the number42362463

Lettheoriginalnumberbex=10a+b,10a+b=4(a+b)=6a−3b...(1)10a+b=3ab=10a+b−3ab=30a+3b−9ab...(2)adding(1)and(2),weget,36a−9ab=0,b=4,a=2,x=24

A two digit number is four times the sum and three times the product of its digits. Find the number
$42$
$36$
$24$
$63$

$L e t t h e o r i g i n a l n u m b e r b e x = 10 a + b, 10 a + b = 4 (a + b) = 6 a - 3 b . . . (1) 10 a + b = 3 a b = 10 a + b - 3 a b = 30 a + 3 b - 9 a b . . . (2) a d d i n g (1) a n d (2), w e g e t, 36 a - 9 a b = 0, b = 4, a = 2, x = 24$