Question

The difference between two whole number is 66 the ratio of two no is 2:5 find the number

Answer 1

difference between two whole no.=66 (given)

ratio of these no. are 2:5

therefore 1st no. will be 2x

and 2nd no. will be 5x

5x-2x=66

3x=66

x=22

1 st no.= 2*22

=44

2nd no.=5*22

=110

Answer 2

$\boxed{The \: two \: whole \: numbers \:are = 110 \:,\: 44}$

Given ,

Difference of the two whole numbers = 66

Ratio's of the whole numbers = 2:5

Let the numbers be 2x and 5x

[ As we know their difference is 66 , subtract them to get the value of X ]

$5x \: - \: 2x \: = \: 66$

$3x \: = \: 66$

$x \: = \: \frac{66}{3}$

$x \: = \: 22$

Therefore value of X = 22

[ substitute the values of X in 2x and 5x ]

2x = 2(22) = 44

5x = 5(22) = 110

Therefore the value of two whole numbers = 44,110

$Verification \: = >$

Equation =>

5x - 2x = 66

[substitute the values ]

110 - 44 = 66

66 = 66

LHS = RHS

Hence our values are correct !