Question

The smaller of numbers is two trds of the greater.If their sum is 120,find the numbers.

Answer 1

Hii friend,

Let the greater Number be X.

Then the smaller Number be 2/3 X.

According to question,

2X/3 + X = 120

2X + 3X = 120× 3

5X = 360

X = 360/5

X = 72

Greater Number = X = 72

Smaller Number = 2X/3 = 2 × 72/3 = 2 × 24 = 48

HOPE IT WILL HELP YOU..... :-)

Answer 2

assume greater number to be X
so smaller will be
$\frac{2}{3} x$
$x + \frac{2}{3} x = 120$
taking LCM
$\frac{3x + 2x}{3} = 120$
so
$3x + 2x = 120 \times 3$
5x =360
X = 360 ÷ 5
X = 72

larger number = 72
smaller number = 48

sum of them 72+48=120